The perimeter of the square is equal to the rectangle. The area of the square is 81 cm2.

| March 19, 2021 | education

The perimeter of the square is equal to the rectangle. The area of the square is 81 cm2. The length of the rectangle is 2 times its width. Find the area of the rectangle.

1. Find the size of the side of the square. The area of the square is 81 cm2. A square is a quadrangle with all sides equal. The area of a square is equal to the product of two sides, that is, the side of a square is 9 centimeters.

2. Find the perimeter of the square.

9 * 4 = 36 centimeters.

3. The width of the rectangle is x cm.

4. The length of the rectangle is x * 2 = 2x cm.

5. Let’s compose and solve the equation.

(x + 2x) * 2 = 36;

6x = 36;

x = 36/6 = 6;

6. The width of the rectangle is x = 6 cm. The length is 2x = 6 * 2 = 12 cm.

7. Find the area of the rectangle.

6 * 12 = 72 cm2.

Answer: The area of the rectangle is 72 cm2.



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