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 inches

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 $b = 88$ in and height $h=71$ in, $A_{1}=\frac{1}{2}\times88\times71 = 44\times71=3124$ square - inches.

Step2: Calculate area of small triangle

For the small triangle with base $b = 47$ in and height $h = 38$ in, $A_{2}=\frac{1}{2}\times47\times38=47\times19 = 893$ square - inches.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=3124 - 893=2231$ square - inches.

Answer:

2231