Question
The side of a square is equal to the perimeter of an
equilateral triangle of area 144√3 cm2 . Find the area of the square?Solution
Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 144√3 ⇒ Side = 24 cm Perimeter of equilateral triangle = 3 x side = 3 x 24 = 72 cm Side of square = 72 cm Area of square = (Side)2 cm2 Area of square = 5184 cm²
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