The width of the rectangle is 75% of its length. Find the perimeter of this rectangle if its area is 48cm ^ 2.

We draw up an equation in which we write the length of the rectangle as x cm.

Since the width is 75% of the length, its value will be:

75% * x = 0.75 * x.

The product of the length of a rectangle by its width is the area of the figure.

0.75 * x * x = 48.

0.75 * x ^ 2 = 48.

x ^ 2 = 48 / 0.75 = 64.

x = √64 = 8 cm (length).

So the width will be equal to:

0.75 * 8 = 6 cm.

To find the perimeter of a rectangle, multiply the sum of the length and width by 2 equal parts.

2 * (8 + 6) = 2 * 14 = 28 cm.

Answer:

Perimeter 28 cm.