Question

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.

Answer 1

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

Answer 2

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