The width of a rectangle with a perimeter of 76.5 cm is half the length, find the area of a rectangle.

Let’s denote by variable x the width of the rectangle. The width of the rectangle is half its length, so the length of the rectangle is 2x.

The perimeter of a rectangle can be calculated using the formula:

P = 2 * (a + b), where P is the perimeter of the rectangle (P = 76.5 cm), a is the length of the rectangle, b is the width.

76.5 = 2 * (2x + x).

76.5 = 6x.

x = 12.75 cm.

The area of the rectangle is calculated by the formula:

S = a * b = x * 2x = 12.75 * 2 * 12.75 = 325.125 cm2.

Answer: The area of the rectangle is 325.125 cm2.