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

1. The length of the rectangle is unknown to us. Suppose it is equal to x cm.

2. In the problem statement it is said that the width of the rectangle is 5 times less than its length. Let’s take a width equal to (x / 5) = x / 5 cm.

3. We also know the perimeter of the rectangle, which is 36 cm. We can write and calculate the equation, thus finding the length of the rectangle.

P = 36 = x + x + x / 5 + x / 5;

36 * 5 = 5x + 5x + x + x;

12x = 180;

x = 180/12;

x = 15 cm.

4. Find out what the second side is equal to

15/3 = 3 cm.

5. Find the area.

S = 15 * 3 = 45 cm ^ 2.

Answer: The area is 45 cm ^ 2.