The sum of the two sides of the parallelogram is 48 cm and the perimeter is 88 cm. Find the sides of the parallelogram.

univerkov | July 27, 2021 | education

Since the doubled sum of the two sides is not equal to the perimeter 2 * 48 ≠ 88, this is the sum of the opposite sides.

Then one of the sides is equal to: AD = BC = 48/2 = 24 cm.

Let the second side be equal to X cm, then the perimeter will be equal to:

P = 2 * (24 + X) = 88.

48 + 2 * X = 88.

2 * X = 40.

X = 40/2 = 20 cm.

AB = CD = 20 cm.

Answer: The sides of the parallelogram are 20 cm and 24 cm.

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