The parallelogram area is 96cm2, its height is 8cm, and its perimeter is 44cm. Find the sides of the parallelogram.

univerkov | February 1, 2021 | education

To solve the problem, consider the figure.

Let’s denote the sides of the parallelogram by a and b, and the height by h.

Then the perimeter of the parallelogram is:

P = 2 * a + 2 * b = 44 cm.

The area of the parallelogram is:

S = b * h = b * 8 = 96 cm2.

b = 96/8 = 12 cm.

2 * a + 2 * 12 = 44.

2 * a = 44 – 24 = 20.

a = 20/2 = 10 cm.

Answer: The sides of the parallelogram are 10 cm and 12 cm.

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