Question
The side of a square is equal to the perimeter of an
equilateral triangle of area 225√3 cm2 . Find the area of the square?Solution
Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 225√3 ⇒ Side = 30 cm Perimeter of equilateral triangle = 3 x side = 3 x 30 = 90 cm Side of square = 90 cm Area of square = (Side)2 cm2 Area of square = 8100 cm²
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