Find the area of a rectangle if its perimeter is 32 cm, and one side is 3 times larger than the other.

1) Find the sides of the rectangle.

Let one side of the rectangle be x cm, then the second side of the rectangle is 3x cm (if … times more, then you need to multiply). By the condition of the problem, it is known that the perimeter of a rectangle (the perimeter of a rectangle is equal to the sum of the lengths of all its sides, P = 2 (a + b)) is equal to 2 (x + 3x) cm or 32 cm.Let’s make an equation and solve it.

2 (x + 3x) = 32;

2 * 4x = 32;

8x = 32;

x = 32: 8;

x = 4 (cm) – one side;

3x = 4 * 3 = 12 (cm) – the second side.

2) Find the area of ​​the rectangle.

The area of ​​a rectangle is equal to the product of its sides. S = a * b.

S = 4 * 12 = 48 (cm ^ 2).

Answer. 48 cm ^ 2.