area of a polygon
The area of the four regular green hexagons is
. The area of the red square is
. What is the area of the circumscribing polygon? If your answer can be expressed as
, give
.
The answer is 63.
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1 solution
The area of one regular hexagon of side s is 6√3. So 6√3 = 1.5√3s^2. s=2. The rectangle has length of (2)(2√3) + 3, and width of 2(1+2) +(3) = 9 . The area of rectangle = 9(4√3 + 3) = 36√3+27. So a+b = 36 + 27 = 63.