If the area and perimeter of a square are numerically equal, find the numerical value of its area.
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The perimeter of a square is numerically equal to its area.
perimeter of a square=4a.
Area of square =a²
Given
4a=a²
or, a(a−4)=0
or, a=4 [ Since a
=0]
Area of square =a²=4×4=16 square units.