The length of the rectangle is 5 times its width. Find the area of a rectangle if its perimeter is 72 centimeters.

1. Let’s take the width of the rectangle as the variable x.

2. Then the length of the rectangle will be 5x.

3. Find x (width) and 5x (length) using the formula for calculating the perimeter of a rectangle:

2 * (x + 5x) = 72;

12x = 72;

x = 6;

5x = 6 * 5 = 30.

4. Find the area of a given rectangle, which is equal by definition to the product of its width and length:

Spr = 6 * 30 = 180.

Answer: The area of a given rectangle is 180 cm2.