Find the perimeter of the blue polygon

Geometry Level pending

A square is drawn on each side of an equilateral triangle as shown. If the area of the equilateral triangle is 25 3 4 \dfrac{25\sqrt{3}}{4} , find the perimeter of the blue polygon.


The answer is 45.

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1 solution

Saksham Jain
Nov 19, 2017

3 4 × a 2 = 25 × 3 4 . t h e r e f o r e , a = 5. therefore perimeter of blue polygon =45 \huge\dfrac{\sqrt{3}}{4}\times a^2=\dfrac{25\times\sqrt{3}}{4} .therefore,a=5.\text{therefore perimeter of blue polygon =45}

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