If the side of the square is increased by 10%, then its area will increase by 84 dm2.
March 1, 2021 | education
| If the side of the square is increased by 10%, then its area will increase by 84 dm2. Calculate the side of the square and its area before enlarging.
Let the side of the square be equal to X dm, then after increasing it by 10%, its length will be 1.1 * X dm.
The area of the original square is X ^ 2, and the new square is 1.21 * X ^ 2.
The area difference is: (1.21 * X ^ 2 – X ^ 2) = 84 dm2.
0.21 * X ^ 2 = 84.
X ^ 2 = 400.
X = 20 cm.
Sq = 20 ^ 2 = 400 dm2.
Answer: The side of the square is 20 cm, the area is 400 dm2.
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