# 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.

August 22, 2021 | education

| 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.

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