Find the area of the shaded portion

Geometry Level 2

Four equilateral triangles are drawn on each side of a 4 × 8 4\times 8 rectangle as shown.Find the area of the shaded region.


The answer is 32.

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1 solution

A = 4 ( 1 2 ) ( 4 ) ( 8 ) ( sin 150 ) = 32 A=4\left(\dfrac{1}{2}\right)(4)(8)(\sin 150)=\boxed{32}

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