Two sides of a parallelogram are in the ratio 4:3. If it's perimeter is 56 cm, find lengths of its side.
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Step-by-step explanation:
Let, The two sides of a parallelogram be 4x and 3x.
Given
Perimeter of the parallelogram = 56 cm
Therefore, By the question
2( sum of adjacent sides of the parallelogram) = 56 cm
2(4x+3x) = 56 cm
2× 7x = 56 cm
14x = 56 cm
x = (56/14) cm
= 4 cm
Therefore , First side of the parallelogram = Third side of the parallelogram= 4x= 4×4cm= 16 cm ( Opposite sides of a parallelogram are equal).
Second side of the parallelogram = Fourth side of the parallelogram = 3x = 3×4cm= 12 cm
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