The trapezoid's area is 126 inch².
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, [tex]A = \frac{b_{1}+b_{2}}{2} h[/tex].
Here [tex]b_{1}[/tex] is the lower base and [tex]b_{2}[/tex] is the upper base, height is h.
Step 2:
In the given diagram,
[tex]b_{1} = 12[/tex] inches and [tex]b_{2}= 2+12+2=16[/tex] inches and h = 9 inches.
[tex]A = \frac{b_{1}+b_{2}}{2} h = \frac{12+16}{2} (9) = 14(9)= 126[/tex] inch².
So the given trapezoid's area is 126 inch².
