The perimeter of the rectangle is 36 cm. Find the area of the rectangle if its width is 5 times less than its length.

So, the perimeter of the rectangle is 36 cm. Let’s start the solution to the problem by calculating the length and width of the rectangle.

We introduce the variable x, denoting the width of the rectangle, then the length can be written as 5x.

Let’s remember and apply the formula for finding the perimeter of a rectangle:

P = 2 (a + b);

2 (x + 5x) = 36;

x + 5x = 36: 2;

6x = 18;

We are looking for an unknown factor:

x = 18: 6;

x = 3 cm rectangle width, length 3 * 5 = 15 cm.

We are looking for the area by the formula:

S = a * b = 3 * 15 = 45 cm2.

Answer: the area of the rectangle is 45 cm2.