# Parallel space law ribs

## Contents

- 1 Overview of the ribs parallel area
- 2 laws calculate the area of a parallelogram
- 3 Examples of parallel space calculation ribs
- 4 References

## Overview of a parallel area of ribs

It features a parallelogram that has four sides, each two ribs opposite each parallel and equal in length, can be defined as the area in general as a vacuum amount inside form a two-dimensional, and Klzlk case for space parallelogram (in English: Area of Parallelogram) that can be calculated simply by multiplying the length of its base, rising. [1]

To learn more about the perimeter parallelogram you can read the following article: What is the perimeter parallelogram.

## Calculate the area laws parallelogram

It can be found in an area of parallelogram by using one of the following laws:

- Using the length of the base, and height, so as follows: [2] parallel space along the base = Ribs × height, symbols: m = b × p; Where: B: the length of the base parallelogram. P: high parallelogram. For example, if there was a parallelogram along the base of 5 cm, and a height of 3 cm, the area according to the previous law are: parallelogram area = length of the base height × 5 × 3 = = 15 cm².
- Parallel space = Ribs × length of the base height, and symbols: m = b × p; Where: B: the length of the base parallelogram. P: high parallelogram.
- B: the length of the base parallelogram.
- P: high parallelogram.
- For example, if there was a parallelogram along the base of 5 cm, and a height of 3 cm, the area according to the previous law are: parallelogram area = length of the base height × 5 × 3 = = 15 cm².
- Using the length of two ribs, and the angle confined between them, so as follows: Parallel ribs area = length of the base × length of the lateral rib × Ga the angle between them, and symbols: M = A × B × Ga (x); Where: A: rib along the side of the parallelogram. B: the length of parallel ribs base. Q: the angle between the base and the lateral rib. M: parallelogram space. For example, if there was a parallelogram along one of the ribs 3 cm, and the other side of 4 cm, and measuring all angles 90 degrees, the area in accordance with the law, the former is: parallelogram area = length of the base × length of the lateral rib × Ga the angle between them = 3 × 4 × Ga ( 90) = 12 cm².
- Parallel ribs area = length of the base × length of the lateral rib × Ga the angle between them, and symbols: M = A × B × Ga (x); Where: A: rib along the side of the parallelogram. B: the length of parallel ribs base. Q: the angle between the base and the lateral rib. M: parallelogram space.
- A: rib along the side of the parallelogram.
- B: the length of parallel ribs base.
- Q: the angle between the base and the lateral rib.
- M: parallelogram space.
- For example, if there was a parallelogram along one of the ribs 3 cm, and the other side of 4 cm, and measuring all angles 90 degrees, the area in accordance with the law, the former is: parallelogram area = length of the base × length of the lateral rib × Ga the angle between them = 3 × 4 × Ga ( 90) = 12 cm².
- Using the length of the country, and the angle confined between them: the parallelogram tar intersect to form between the amount of angle (r), and the other of (p), and to calculate the parallel area of the ribs using the length of the diameters are used the law as follows: [2] parallel space rib = ½ × length of the first diameter × diameter × length of the second Ga (the angle between them), and symbols: m = ½ × s × × for Ja (r or p); Where: M: parallelogram space. S: length of the first diameter. For: the length of the second diameter. P, p: angles confined between the two countries.
- Parallelogram area = ½ × length of the first diameter × diameter × length of the second Ga (corner confined between them), and symbols: m = ½ × s × × for Ja (r or p); Where: M: parallelogram space. S: length of the first diameter. For: the length of the second diameter. P, p: angles confined between the two countries.
- M: parallelogram space.
- S: length of the first diameter.
- For: the length of the second diameter.
- P, p: angles confined between the two countries.

To learn more about parallelogram you can read the following article: Law parallel ribs.

## Examples of parallel space calculation ribs

- The first example: the length of the parallel sides of the base 1.5 cm, and a height of 1 cm, what is the area? [3] Solution: application of space law parallelogram = length of the base × height, that produces: parallelogram = 1.5 × 1 = 1.5 cm² space.
- Solution: application of space law parallelogram = length of the base × height, that produces: parallelogram = 1.5 × 1 = 1.5 cm² space.
- Example Two: parallel sides of the length of the base 2 O, and the height S², what is the area? [3] Solution: application of space law parallelogram = length of the base × height, produces that: an area of parallelogram = 2 x × x = 2 S³ cm².
- Solution: application of space law parallelogram = length of the base × height, produces that: an area of parallelogram = 2 x × x = 2 S³ cm².
- Third example: parallelogram father c d, base (b c) equal to 22 cm, in which the column (DU) plopped corner d towards the base (b c), and length (c) equal to 12 cm, rib (d c) 18 cm, the very area. [4] solution: To resolve this question is the following steps: Calculate the height of the application of space law parallelogram which is equal to the base length × height using the Pythagorean theorem, which states that: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², so the 18² = (first rib (dU)) ² + 12², and it (du), a height = 180√sm. Application Area Code: space parallelogram = length of the base × height = 22 × 180√ = 295.1 cm. Can also solve the question in another way: is calculating the angle between the base and lateral rib, by using the cosine angle law, a cos (x) = adjacent / tendon, which: cos (x) = 12/18 = 0.666, and from Q = 48.18 degrees, then the application of the law: a parallel area of ribs = length of the base length of the lateral rib × × Ga confined between the angle = 22 × 18 × Ga (48.18) = 295.1 cm
- Solution: To resolve this question is the following steps:
- Calculate the height of the application of space law parallelogram which is equal to the base length × height using the Pythagorean theorem, which states that: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², so the 18² = (first rib (dU)) ² + 12², and it (du), a height = 180√sm.
- Application Area Code: space parallelogram = length of the base × height = 22 × 180√ = 295.1 cm.
- Can also solve the question in another way: is calculating the angle between the base and lateral rib, by using the cosine angle law, a cos (x) = adjacent / tendon, which: cos (x) = 12/18 = 0.666, and from Q = 48.18 degrees, then the application of the law: a parallel area of ribs = length of the base length of the lateral rib × × Ga confined between the angle = 22 × 18 × Ga (48.18) = 295.1 cm
- Example IV: parallelogram area of 6 square units, and the length of its base Q, and the height x + 1, what is the length of its base, and the height? [5] Solution: application of space law parallelogram = length of the base × height, produces that: 6 = (o) (x + 1), and from 6 = S² + x, and to solve this equation, find the value of x, through analysis to (x - 2) (x + 3) = 6, the values of x equals x = 2, o = -3 , excluding the negative value of the base that produces the length = 2 cm, and the height equals x + = 1 + 2 = 1 3 cm.
- Solution: application of space law parallelogram = length of the base × height, produces that: 6 = (x) (x + 1), and from 6 = S² + x, and to solve this equation, find the value of x, through analysis to (x - 2 ) (x + 3) = 6, the values of x equals x = 2, o = 3, excluding the negative value of the base that produces the length = 2 cm, and the height equals x + = 1 + 2 = 1 3 cm.
- Example V: What are the parallelogram area that the length of base 8 cm, and a height of 11 cm? [2] Solution: application of space law parallelogram = length of the base × height, produces that: an area parallelogram 11 × 8 = = 88 cm².
- Solution: application of space law parallelogram = length of the base × height, produces that: an area of parallelogram = 11 × 8 = 88 cm².
- Example VI: If the length of the parallel base Ribs is equivalent to three times the height and area of 192 cm², what is the length of its base, and the height? [2] Solution: Using space law parallelogram = length of the base × height, assuming that the base length is x, and the height is 3 x , it produces that: an area of parallelogram = 3 x × x = 192, and from x = 8 cm, the length of the base, and the height is a 3 x 3 × 8 = = 24 cm².
- Solution: Using space law parallelogram = length of the base × height, assuming that the base length is x, and the height is 3 x, produces that: an area of parallelogram = 3 x × x = 192, and from x = 8 cm, which is the base length, the height is a 3 x = 3 × 8 = 24 cm².
- Seventh: parallelogram father c d, base (b c example) equal to 15 cm, in which the column (DU) plopped corner d towards the base (b c), and length (c) equal to 5 cm, rib (c d) 13 cm, the very area. [6] solution: To resolve this question is the following steps: Calculate the height of the application of space law parallelogram which is an area of parallelogram = length of the base × height using the Pythagorean theorem, namely: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², thus, 13² = (first rib (dU)) ² + 5², and it (du), a height = 12 cm. Application Area Code: space parallelogram = length of the base × height = 15 × 12 = 180 cm.
- Solution: To resolve this question is the following steps:
- Calculate the height of the application of space law parallelogram which is an area of parallelogram = length of the base × height using the Pythagorean theorem, namely: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², thus, 13² = (first rib (dU)) ² + 5², and it (du), a height = 12 cm.
- Application Area Code: space parallelogram = length of the base × height = 15 × 12 = 180 cm.
- Eighth example: parallelogram along the base of 12 cm, and the length of the rib side 20 cm, and measuring the angle between the rib and the base = 60 degrees, calculate the area. [7] The solution: application of the law: a parallel area of ribs = length of the base × length of the lateral rib × Ga the angle between them = 12 × 20 × Ja (60) = 207.8 cm².
- Solution: applying the law: an area of parallelogram = the base length × length of the lateral rib × Ga between the angle = 12 × 20 × Ja (60) = 207.8 cm².
- Ninth example: parallelogram father c d, base (b c) equal to 23 cm, in which the column (DU) plopped corner d towards the base (b c), and length (c) equal to 5 cm, and the angle c = 45 degrees, very area. [ 8] solution: Height (de account) using the law under the angle = opposite / next door, and it tan (45) = height / 5, and from the height = 5 cm. Application Area Code: space parallelogram = length of the base × height = 23 × 5 = 115 cm².
- The solution:
- Height (de account) using the law under the angle = opposite / next door, and it tan (45) = height / 5, and from the height = 5 cm.
- Application Area Code: space parallelogram = length of the base × height = 23 × 5 = 115 cm².
- Example X: parallelogram area of 152 cm², and the length of its base 9 cm, what is the height? [9] Solution: application of space law parallelogram = length of the base × height, produces that: 152 = 9 × height, and from Height = 153/9 = 17 cm.
- Solution: application of space law parallelogram = length of the base × height, results that: 152 = 9 × height, and from Height = 153/9 = 17 cm.
- Example atheist ten: parallelogram father c d, base (b c) equal to 21 cm, in which the column (DU) plopped corner d towards the base (b c), and length (c) equal to 8 cm, rib (d c) = 17 cm, grandfather area. [10] the solution: To resolve this question is the following steps: Calculate the angle between the lateral rib and the base by using a pocket law fully angle = adjacent / plugged in, and it cos (x) = 8/17 = 0.47, and from Q = 61.9 degrees. Law enforcement: parallelogram space = length of the base × length of the lateral rib × Ga between the angle = 21 × 17 × Ga (61.9) = 315 cm². Can also be the question resolved in another way it is to calculate the height by the Pythagorean theorem, the result that: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², so the 17² = (rib The first (dU)) ² + 8², and it (du), a height = 15 cm, and then apply the law: a parallel area of ribs = length of the base × height = 21 × 15 = 315 cm².
- Solution: To resolve this question is the following steps:
- Calculate the angle between the lateral rib and the base by using a pocket law fully angle = adjacent / plugged in, and it cos (x) = 8/17 = 0.47, and from Q = 61.9 degrees.
- Law enforcement: parallelogram space = length of the base × length of the lateral rib × Ga between the angle = 21 × 17 × Ga (61.9) = 315 cm².
- Can also be the question resolved in another way it is to calculate the height by the Pythagorean theorem, the result that: (plugged in (c d)) ² = (first rib (DU)) ² + (second rib (c)) ², so the 17² = (rib The first (dU)) ² + 8², and it (du), a height = 15 cm, and then apply the law: a parallel area of ribs = length of the base × height = 21 × 15 = 315 cm².

To learn more about the properties of parallel ribs you can read the following article: parallel characteristics of the ribs.

## References

- ↑ "How Area Formulas of Triangles, Parallelograms & Trapezoids Relate", study.com, Retrieved 24-3-2020. Edited.
- ^ أ ب ت ث "Area of Parallelogram", byjus.com, Retrieved 24-3-2020. Edited.
- ^ أ ب "How to find the area of a parallelogram", www.varsitytutors.com, Retrieved 24-3-2020. Edited.
- ↑ "How to find the area of a parallelogram", www.varsitytutors.com, Retrieved 24-3-2020. Edited.
- ↑ "How to find the area of a parallelogram", www.varsitytutors.com, Retrieved 24-3-2020. Edited.
- ↑ " Areas of Parallelograms and Triangles", 1.cdn.edl.io, Retrieved 24-3-2020(page 1). Edited.
- ↑ " Areas of Parallelograms and Triangles", 1.cdn.edl.io, Retrieved 24-3-2020 (page 2). Edited.
- ↑ "Areas of Parallelograms and Triangles", 1.cdn.edl.io, Retrieved 24-3-2020 (page 3). Edited.
- ↑ "Areas of Parallelograms and Triangles", 1.cdn.edl.io, Retrieved 24-3-2020 (page 6). Edited.
- ↑ "Areas of Parallelograms and Triangles", 1.cdn.edl.io, Retrieved 24-3-2020 (page 8). Edited.

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