The perimeter of a rectangle is 120 cm. It is known that the length of a rectangle is three times

The perimeter of a rectangle is 120 cm. It is known that the length of a rectangle is three times its width. Determine the area of the rectangle.

In order to determine the area of a rectangle, recall the formula:

S = a * b;

To find it, you need to know the length and width of the rectangle.

From the condition, we know that the perimeter of the rectangle is 120 cm. It is also known that the length is 3 times its width.

And we’ll start by introducing a variable. Let x cm the width of the rectangle, 3x cm the length.

P = 2 (a + b);

We get the equation and solve it:

2 (x + 3x) = 120;

x + 3x = 60;

4x = 60;

x = 60: 4;

x = 15 cm width and 15 * 3 = 45 cm length.

S = 15 * 45 = 675 cm2.