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: 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 $b = 87$ mm and height $h=68$ mm, $A_{1}=\frac{1}{2}\times87\times68 = 87\times34=2958$ $mm^{2}$.

Step2: Find area of small triangle

For the small triangle with base $b = 52$ mm and height $h = 48$ mm, $A_{2}=\frac{1}{2}\times52\times48=52\times24 = 1248$ $mm^{2}$.

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A=A_{1}-A_{2}=2958 - 1248=1710$ $mm^{2}$.

Answer:

1710