One side of the rectangle is 5cm shorter than the other, and its perimeter is 22cm. Find the area of the rectangle.

univerkov | February 10, 2021 | education

Let one of the sides of the rectangle be equal to X cm, AB = X cm, then the length of the other side is equal to (X + 5) cm, BC = (X + 5) cm.

Since AВСD is a rectangle, its perimeter is equal to: Ravsd = 2 * (AB + BC).

22 = 2 * (X + X + 5).

4 * X = 12 cm.

X = AB = СD = 12/4 = 3 cm.

BC = AD = 3 + 5 = 8 cm.

Then the area of the rectangle is: S = AB * BC = 3 * 8 = 24 cm2.

Answer: The area of the rectangle is 24 cm2.

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