Question

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Answer 1

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, $A = \frac{b_{1}+b_{2}}{2} h$.

Here $b_{1}$ is the lower base and $b_{2}$ is the upper base, height is h.

Step 2:

In the given diagram,

$b_{1} = 12$ inches and $b_{2}= 2+12+2=16$ inches and h = 9 inches.

$A = \frac{b_{1}+b_{2}}{2} h = \frac{12+16}{2} (9) = 14(9)= 126$ inch².

So the given trapezoid's area is 126 inch².