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What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.

What is the area of the shaded region below Assume the hexagon is regular Use your calculator and round your final answer to the nearest hundredth class=

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shaded area = area of hexagon = area of rectangle
area of hexagon = 9s²√3/2, where s is the side length. 9(22²)√3/2 = 2178√3 ≈ 3772.41
area of rectangle = 18*22 = 396
shaded area = 3772.41 - 396 = 3376.41
The answer is 861.47
The equation for the problem is
area of shaded area = area of hexagon - area of rectangle
area of hexagon = [(3√3)/2]a^2
area of rectangle = length x width
area of shaded area = {[(3√3)/2]22^2} - (18 • 22)
area of shaded area = 1257.47 - 396
area of shaded area = 861.47
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