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: Find area of large triangle

Use formula $A=\frac{1}{2}bh$. Here, $b = 38$ in and $h=38$ in. So $A_{1}=\frac{1}{2}\times38\times38=722$ square - inches.

Step2: Find area of small triangle

Use formula $A=\frac{1}{2}bh$. Here, $b = 27$ in and $h = 27$ in. So $A_{2}=\frac{1}{2}\times27\times27 = 364.5$ square - inches.

Step3: Find area of shaded region

Subtract area of small triangle from large triangle. $A = A_{1}-A_{2}=722 - 364.5=357.5$ square - inches.

Answer:

357.5 square inches