Answer:
[tex]18 ft^2[/tex]
Step-by-step explanation:
You could calculate the area of the trapezoid and then subtract the area of the triangle.
Area of a trapezoid:
[tex]A = \frac{a+b}{2}h[/tex]
Plug values in:
[tex]A = \frac{6+12}{2}(6)[/tex]
Add 6 and 12:
[tex]A = \frac{18}{2}(6)[/tex]
Simplify:
[tex]A = 54[/tex]
Area of a triangle:
[tex]A = \frac{1}{2}bh[/tex]
Plug values in:
[tex]A = \frac{1}{2}(6)(12)[/tex]
Simplify:
A = 36
Subtract the area of the triangle from the area of the trapezoid
54 - 36 = 18
You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18
