The side of the square was reduced by 5 cm, as a result, its area changed by 115 cm2. Find the side length of the resulting square.
| February 6, 2021 | education
Let x be the side of the original square.
(x – 5) is the side of the resulting square.
Let’s make the equation:
x ^ 2 – (x – 5) ^ 2 = 115;
x ^ 2 – x ^ 2 + 10x – 25 = 115;
10x = 140;
x = 14;
The side length of the resulting square:
x – 5 = 9 cm;
Answer: The length of the side of the resulting square is 9 cm.
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