The perimeter of the rectangle is 24 cm. Its length is 4 cm wider. Find the area of the rectangle?

From the condition it is known that the perimeter of the rectangle is 24 cm. We also know that its length is 4 cm longer than its width. In order to find the area of a rectangle, we first need to find the lengths of its sides.

Let’s start by denoting the width of the rectangle as x cm, then the length can be written as (x + 4) cm.

Let’s compose the equations using the formula for finding the perimeter:

P = 2 (a + b);

2 (x + x + 4) = 24;

x + x + 4 = 24: 2;

2x + 4 = 12;

2x = 12 – 4;

2x = 8;

x = 8: 2;

x = 4 cm wide and 4 + 4 = 8 cm long.

S = a * b = 4 * 8 = 32 cm2.