One side of the rectangle is three times larger than the other side, find the area of the rectangle if its perimeter is 96 cm.

1. Suppose that the width of the rectangle is x cm.

2. Then the length of the rectangle is (3 * x) = 3x cm.

3. Let’s compose an equation and calculate what the width of a given rectangle is equal to, if it is known that its perimeter is 96 cm.

x + x + 3x + 3x = 96;

8x = 96;

x = 96/8;

x = 12 cm.

4. Find what the length of the given rectangle is equal to.

12 * 3 = 36 cm.

5. Let’s calculate the area of this rectangle.

12 * 36 = 432 cm ^ 2.

Answer: The area of the given rectangle is 432 cm ^ 2.