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 formula for the area of a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 39$ mm and height $h = 32$ mm, $A_{1}=\frac{1}{2}\times39\times32=624$ $mm^{2}$.

Step2: Calculate area of small triangle

For the small triangle with base $b = 28$ mm and height $h = 19$ mm, $A_{2}=\frac{1}{2}\times28\times19 = 266$ $mm^{2}$.

Step3: Calculate area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_{1}-A_{2}=624 - 266=358$ $mm^{2}$.

Answer:

358 square millimeters