Question

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

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 $b = 38$ in and height $h=33$ in, we have $A_{1}=\frac{1}{2}\times38\times33=\frac{38\times33}{2}= 627$ square - inches.

Step2: Find area of small triangle

For the small triangle with base $b = 22$ in and height $h = 23$ in, using the area formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times22\times23=\frac{22\times23}{2}=253$ square - inches.

Step3: Find area of shaded region

The area of the shaded region $A$ is the area of the large triangle minus the area of the small triangle. So $A=A_{1}-A_{2}=627 - 253=374$ square - inches.

Answer:

374 square - inches