# The side of the square is 20cm. How much will its area decrease if the side is reduced by 2 cm?

March 24, 2021 | education

| 1. First, calculate the area of the original square. To do this, we multiply its two sides:

20 x 20 = 400 (cm²).

2. Next, let’s calculate the length of the transformed square, if we decrease its value by 2 cm:

20 – 2 = 18 (cm).

3. Now let’s calculate the area of the transformed square by multiplying the side length by itself:

18 x 18 = 324 (cm²).

4. It remains to calculate how much the area of the square has decreased. To do this, subtract the area of the new square from the area of the old square:

400 – 324 = 76 (cm²).

Answer: if the side of the square is reduced by 2 cm, then the area will decrease by 76 cm².

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