The perimeter of a square is 16cm, find the area of a rectangle if the width is equal to the side

The perimeter of a square is 16cm, find the area of a rectangle if the width is equal to the side of the square, and the length is 3 times more?

The perimeter of the square is 16 cm. The width of the rectangle is equal to the side of the square, the length is 3 times greater. Let’s find the area of this rectangle.

The perimeter of a square is the size of the side of the square, multiplied by 4. Accordingly, we find the length of the side of the square:

a * 4 = P;

a = P / 4 = 4 cm.

The width of the rectangle b is equal to the length of the side of the square:

b = a = 4 cm.

The length of the rectangle c is 3 times the side of the square:

c = 3 * a = 3 * 4 = 12 cm.

The area of a rectangle is the product of length and width:

S = b * c = 4 * 12 = 48 cm².