Question

30 POINTS!!!!!!!!!!!!!!! Need help ASAP. This is the only information i have

Question 3:
The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles.

What is the area, in square feet, of the shaded region?
Enter your answer in the box.
square feet

What is the area, in square feet, of the nonshaded region?
Enter your answer in the box.
square feet

Answer 1

Area of the shaded region is 41 square feet and area of the unshaded region if 87 square feet.

First I found the area of the big rectangle which was 128 ft^2 (16x8)

Then I turned the shaded area into a trapezoid by extending the bottom right corner of the region and I calculated its area which was 45 ft^2 ((6+3)x10)/2).

Then I calculated the area I added to the bottom right of the shaded region to turn it into a trapezoid which was 4 ft^2 (2x2)

After that, subtracted the unshaded area at the bottom right from the trapezoid area which gave me the area of the shaded area: 41 ft^2 (45 - 4)

Finally I subtracted the area of the shaded region from the area of the rectangle to find the area of the unshaded region which is 87 ft^2 (128 - 41)