Question

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

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 35$ ft and height $h=34$ ft, $A_{1}=\frac{1}{2}\times35\times34 = 595$ square - feet.

Step2: Calculate area of small triangle

For the small triangle with base $b = 20$ ft and height $h = 20$ ft, $A_{2}=\frac{1}{2}\times20\times20=200$ square - feet.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=595 - 200=395$ square - feet.

Answer:

395