one side of a parallelogram is 3/4 times its adjacent side if the perimeter of the parallelogram an is 70 cm find the side of the parallelogram
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Answer:
- Sides of the parallelogram are 20,15,20,15.
To find:
- The sides of the parallelogram?
Given:
- One side of a parallelogram is 3/4 times its adjacent side.
- The perimeter of the parallelogram is 70cm.
Solution:
Let us assume of adjacent sides of the parallelogram as a and b
Perimeter = 2( a + b ) = 70
- B = 3/4a
➥ 2( a + 3/4a ) = 70
➥ 2( 2a + 3a/2 ) = 70
➥ 2( 2a + 3a ) = 70 × 2
➥ 7a = 140
➥ a =
➥ a = 20
Thus, B = 3/4 × 20
➥ B = 15
- We know that, Opposite sides of a parallelogram are equal.
Therefore, Sides of the parallelogram are 20,15,20,15.
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