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

Answer:

299.68

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$.

Step2: Calculate area of outer - triangle

For the outer triangle with base $b_1 = 33.5$ in and height $h_1=39.8$ in, $A_1=\frac{1}{2}\times33.5\times39.8=\frac{33.5\times39.8}{2}=663.35$ square inches.

Step3: Calculate area of inner - triangle

For the inner triangle with base $b_2 = 23.8$ in and height $h_2 = 27.6$ in, $A_2=\frac{1}{2}\times23.8\times27.6=\frac{23.8\times27.6}{2}=363.67$ square inches.

Step4: Calculate area of shaded region

The area of the shaded region $A = A_1 - A_2=663.35−363.67 = 299.68$ square inches.