Answer:
40.5 ft²
Step-by-step explanation:
*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.
*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.
Triangle:
A = 1/2bh
A = 1/2 (6) (1.25)
A = 3.75 ft²
Both triangles:
A = 3.75 (2)
A = 7.5 ft²
Rectangle:
A = lh
A = 5.5 (6)
A = 33 ft²
Total:
A = 7.5 + 33
A = 40.5 ft²
