If the area and perimeter of a square are numerically equal, find the numerical value of its area.
Answer:
16
- 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.