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 centimeters

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 $b = 30$ cm and height $h=28$ cm, $A_{1}=\frac{1}{2}\times30\times28= 420$ $cm^{2}$.

Step2: Find area of small triangle

For the small triangle with base $b = 19$ cm and height $h = 18$ cm, $A_{2}=\frac{1}{2}\times19\times18=171$ $cm^{2}$.

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_{1}-A_{2}=420 - 171=249$ $cm^{2}$.

Answer:

249 square centimeters