The area of the rectangle is 72 cm2 and its width is 3 times less than the length. What is the perimeter of the rectangle?

In order to find the perimeter of a rectangle, we must first recall the formula for finding the perimeter and analyze the condition of the problem.

We look for the perimeter by the formula:

P = 2 (a + b);

The condition says that the area of the rectangle is 72 cm2, and its width is 3 times less than the length.

Let’s denote by x the length of the rectangle, then the width is 3x cm.

Let’s compose and solve an equation based on the formula for the area of a rectangle:

S = a * b;

3x * x = 72;

3x ^ 2 = 72;

x ^ 2 = 72: 3;

x ^ 2 = 24;

x = 2√6 cm is the length of the rectangle, then 3 * 2√6 = 6√6 cm is the width of the rectangle.

P = 2 (2√6 + 6√6) = 2 * 8√6 = 16√6 cm.