The width of the rectangle is 3 times less than its length. Find the area of the rectangle if its perimeter is 320 cm.

Let us designate the width as “×” cm, then the length will be 3 × cm. Knowing that the perimeter of the rectangle is 320 centimeters, we will compose an equation and find the value for the width. The perimeter of a rectangle is twice the sum of its length and width.

(× + 3 ×) * 2 = 320;

We carry out multiplication on the left side.

4 × * 2 = 320;

Divide 320 by a factor of 8.

8 × = 320;

× = 320/8;

× = 40.

The width is 40 cm, and the length is 3 * 40 = 120 cm.Let’s find the value of the area of the rectangle.

S = 40 * 120 = 4 800 cm².

Answer: 4,800 cm².