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: Find area of large triangle

Use formula $A=\frac{1}{2}bh$. Here, base $b = 31$ ft and height $h=35$ ft. So $A_{1}=\frac{1}{2}\times31\times35=\frac{1085}{2}=542.5$ square - feet.

Step2: Find area of small triangle

Use formula $A=\frac{1}{2}bh$. Here, base $b = 22$ ft and height $h = 25$ ft. So $A_{2}=\frac{1}{2}\times22\times25=275$ square - feet.

Step3: Find area of shaded region

Subtract area of small triangle from area of large triangle. $A = A_{1}-A_{2}=542.5 - 275=267.5$ square - feet.

Answer:

$267.5$