Question

what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth. square feet

Explanation:

Step1: Calculate area of large triangle

Use formula $A = \frac{1}{2}bh$. Here, $b = 19.6$ ft and $h=19.2$ ft. So $A_{1}=\frac{1}{2}\times19.6\times19.2$ = $188.16$ square - feet.

Step2: Calculate area of small triangle

Use formula $A=\frac{1}{2}bh$. Here, $b = 11.2$ ft and $h = 12.9$ ft. So $A_{2}=\frac{1}{2}\times11.2\times12.9$ = $72.24$ square - feet.

Step3: Calculate area of shaded region

Subtract area of small triangle from area of large triangle. $A = A_{1}-A_{2}=188.16 - 72.24=115.92$ square - feet.

Answer:

$115.92$