# The perimeter of the parallelogram is 26. One side of the parallelogram is 5 cm larger than the other

August 23, 2021 | education

| **The perimeter of the parallelogram is 26. One side of the parallelogram is 5 cm larger than the other. Find the smaller side of the parallelogram.**

Let a parallelogram ABCD be given, the perimeter of which is 26 cm.Let its smaller side x cm, larger x + 5 cm.

The perimeter of the parallelogram is:

p = 2 * (AB + BC).

In our case:

p = 2 * (x + 5 + x) = 26.

Let’s solve the equation:

4x + 10 = 26

4x = 16

x = 4

Answer: the smaller side of the parallelogram is 4 cm.

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