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 millimeters

Explanation:

Step1: Calculate area of large triangle

The area formula for a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 12.5$ mm and height $h=14.1$ mm, $A_{1}=\frac{1}{2}\times12.5\times14.1=\frac{176.25}{2}=88.125$ square - mm.

Step2: Calculate area of small triangle

For the small triangle with base $b = 8.2$ mm and height $h = 9.1$ mm, $A_{2}=\frac{1}{2}\times8.2\times9.1=4.1\times9.1 = 37.31$ square - mm.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=88.125 - 37.31=50.815\approx50.82$ square - mm.

Answer:

$50.82$