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

Explanation:

Step1: Find area of large triangle

The area formula for a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 35$ mm and height $h = 27$ mm, $A_{1}=\frac{1}{2}\times35\times27=\frac{945}{2}= 472.5$ square - mm.

Step2: Find area of small triangle

For the small triangle with base $b = 23$ mm and height $h = 18$ mm, $A_{2}=\frac{1}{2}\times23\times18= 207$ square - mm.

Step3: Find area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=472.5 - 207=265.5$ square - mm.

Answer:

265.50 square millimeters