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

The formula for the area of a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 14$ ft and height $h=10$ ft, $A_{1}=\frac{1}{2}\times14\times10 = 70$ square - feet.

Step2: Find area of small triangle

For the small triangle with base $b = 9$ ft and height $h = 8$ ft, $A_{2}=\frac{1}{2}\times9\times8=36$ square - feet.

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_{1}-A_{2}=70 - 36=34$ square - feet.

Answer:

34