# The area of a square is equal to the area of a rectangle with one side 3 cm

September 28, 2021 | education

| **The area of a square is equal to the area of a rectangle with one side 3 cm larger than the side of the square and the other 2 cm less than the side of the square. Find the sides of the rectangle**

1. The length of the side of the square is x centimeters.

2. One side of the rectangle (x + 3) centimeters.

3. The other side of it.

(x – 2) centimeters.

4. Determine the area of the square.

x * x = x cm².

5. What is the area of the rectangle?

(x + 3) * (x – 2) = x² – 2x + 3x – 6 = (x² + x – 6) cm².

6. Find the side of the square.

x² = x² + x – 6;

x² – x² + 6 = x;

6 = x;

Answer: One side of the rectangle is x + 3 = 6 + 3 = 9 centimeters, the other is x – 2 =

= 6 – 2 = 4 centimeters.

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