The perimeter of the rectangle is 54cm, the base is 5cm more than the height. Find the larger side of the rectangle.

In order to find the larger side of the rectangle (its length), we compose an equation where we take the smaller side as x, and the larger side as x + 5.

1) (x + x + 5) * 2 = 54;

(2x + 5) * 2 = 54;

(2x + 5) = 54/2;

2x + 5 = 27;

2x = 27 – 5;

2x = 22;

x = 22/2;

x = 11.

The width (height) of the rectangle is 11 centimeters.

2) Find out the length (base) of the rectangle using the obtained data.

11 + 5 = 16.

The length (base) of the rectangle is 16 centimeters.

3) Let’s check the result.

(16 + 11) * 2 = 54;

27 * 2 = 54;

54 = 54.

Answer: 16 centimeters.