In parallelogram ABCD, side AB is 5 cm larger than side BC. Find the sides of parallelogram

In parallelogram ABCD, side AB is 5 cm larger than side BC. Find the sides of parallelogram ABCD if its perimeter is 100 cm.

AB is 5cm larger than BC.

Let’s write it down with the equation:

Let BC x, then AB = (x + 5)

The parallelogram has opposite sides equal, therefore we take all 4 sides

AB = CD, BC = AD

BC = 2x, AB = (2x + 10)

Let’s compose and solve the equation

2x + 2x + 10 = 100

4x = 90

x = 22.5 (BC)

AB = 22.5 + 5 = 27.5

AD = CB = 22.5cm.

AB = CD = 27.5cm.



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