If the area and perimeter of a square are numerically equal, find the numerical value of its area.
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Step by Step Explanation:
- Let the side of the square be S.
Area of a square, A = S2
We also know that the perimeter of a square is, P = 4S
- According to the question, the area and the perimeter of the square are numerically equal. This means:
A = P
or, S2 = 4S
or, S = 4
- Therefore, the area of the square is 16.