Question

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what is the area of the shaded region? 16.5 in 12.8 in 12.8 in 17.7 in write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Find area of larger triangle

Use formula $A = \frac{1}{2}bh$, where $b = 17.7$ in and $h=16.5$ in. So $A_1=\frac{1}{2}\times17.7\times16.5=\frac{292.05}{2}=146.025$ square - inches.

Step2: Find area of smaller triangle

Use formula $A=\frac{1}{2}bh$, where $b = 12.8$ in and $h = 12.8$ in. So $A_2=\frac{1}{2}\times12.8\times12.8=81.92$ square - inches.

Step3: Find area of shaded region

Subtract area of smaller triangle from area of larger triangle. $A = A_1 - A_2=146.025-81.92 = 64.105\approx64.11$ square - inches.

Answer:

$64.11$ square inches