The perimeter of the parallelogram is 24 cm, one side is 2 times larger than the other. find the smaller side.

univerkov | April 30, 2021 | education

1. The tops of the parallelogram – A, B, C, D. The perimeter (P) of the parallelogram = 24 cm. The length of the side AD is twice the length of the side AB. AD = 2AB.

2.Considering that the opposite sides of the parallelogram are equal, its perimeter is calculated by the formula:

P = 2 (AB + AD) = 24 cm.

AB + AD = 12 cm.

3. Substitute in this expression 2AB instead of AD:

AB + 2AB = 12 cm.

3AB = 12 cm.

AB = 4 cm.

AD = 2 x AB = 2 x 4 = 8 cm.

Answer: AB = 4 cm – the smaller side of the parallelogram.

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