# Increase one side of the rectangle by 3 times, and reduce the other by 2 times and get a square.

July 25, 2021 | education

| **Increase one side of the rectangle by 3 times, and reduce the other by 2 times and get a square. What is the side of the square if the area of the rectangle is 54m**

1. Take the side of the square for x. Then the length of the rectangle is:

x * 2 = 2x (cm);

2. Width of the rectangle:

x / 3 (cm);

3. Knowing that the area of the rectangle is equal to the product of the length and width, we compose the equation:

2x * (x / 3) = 54;

2x ^ 2/3 = 81;

x ^ 2 = 81;

x = 9;

The length of the square is 9 centimeters;

Answer: 9 cm.

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