The area of the square is 2 times the area of the rectangle. The side of the square is 6 cm and one side

| March 1, 2021 | education

The area of the square is 2 times the area of the rectangle. The side of the square is 6 cm and one side of the rectangle is 9 cm. Find the second side of the rectangle.

1) Knowing the size of the side of the square, we calculate the area of the square using the formula: S = a ^ 2 = 6 6 = 36 (cm ^ 2);

2) If the area of the square is 2 times the area of the rectangle, then the area of the rectangle can be found by dividing the area of the square by 2: 36: 2 = 18 (cm ^ 2);

3) Knowing the area of the rectangle and the size of one of the sides of the rectangle, we determine what the size of the second side of the figure is. To do this, from the area formula, we express the value of the side: a = S: b = 18: 9 = 2 (cm).

Answer: the second side of the rectangle is 2 cm.



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