Answer:
Area = 192.5 ft.²
Step-by-step explanation:
By splitting the shape in 2, we can find the area much simpler.
Starting with the parallelogram (on the left), the area formula is A = b × h.
b (base) = 11 ft.
h (height) = 7 ft.
A (area) = (11 ft.)(7 ft.)
A = 77 ft.² (save this for later)
Then, the trapezoid's (on the right) area formula is A = [(a + b) ÷ 2] × h.
a (first base) = 8 ft.
b (second base) = (20 - 7) = 13 ft.
h (height) = 11 ft.
A = [(8 ft. + 13 ft.) ÷ 2] × 11 ft.
A = [(21 ft.) ÷ 2] × 11 ft.
A = (10.5 ft.) × 11 ft.
A = 115.5 ft.²
Now, bringing back the first area, we can add them together to find the total:
A = 77 ft.² + 115.5 ft.²
A = 192.5 ft.²
Hope this helps! I'd appreciate Brainliest but if not it's totally fine!
