Question

14 find the area of the shaded region in the figure.
12 in
18 in
8 in
$\boldsymbol{in^2}$
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Explanation:

Step1: Calculate area of parallelogram

$\text{Area}_{\text{parallelogram}} = 12 \times 18 = 216$ $\text{in}^2$

Step2: Calculate area of unshaded triangle

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 12 \times 8 = 48$ $\text{in}^2$

Step3: Subtract triangle area from parallelogram

$\text{Area}_{\text{shaded}} = 216 - 48$

Answer:

$168$ $\text{in}^2$