The length of the rectangle is three times its width, and the area is 75 cm ^ 2.

The length of the rectangle is three times its width, and the area is 75 cm ^ 2. Determine the perimeter of the rectangle.

A rectangle is a rectangle whose opposite sides are equal. Its area is determined by the formula:

S = a * b. Provided that its value is 75 cm², we find the sides of such a figure by making the equation:

x * 3x = 75,

3x² = 75,

x² = 75: 3 = 25,

x = √25 = 5.

Therefore, the width of the rectangle = 5 cm, and the length = 3 * 5 = 15 cm.