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A four sided polygon PQRS is such that it is formed of two equilateral triangles PQS and QRS joined together. The area of a PQRS is 8√3 cm2, then what will be the perimeter (in cm) of PQRS?

A four sided polygon PQRS is such that it is formed of two equilateral triangles PQS and QRS joined together. The area of a PQRS is 8√3 cm2, then what will be the perimeter (in cm) of PQRS? Correct Answer 16

Given, Area of PQRS = 8√3 cm2 = 2 * Area of PQS = 2 * Area of QRS Let the length of side of PQRS = x cm Area of PQS = √3 / 4 * x2 On equating ➩ 2 * √3 / 4 * x2 = 8√3 ➩ √3 / 4 * x2 = 4√3 ➩ x2 = 4√3 * 4 / √3 ➩ x2 = 16 cm2 ➩ x = 4 cm. Perimeter of PQRS = 4 * x = 4 * 4 cm = 16 cm

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