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