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 $b = 30$ cm and height $h=30$ cm, $A_1=\frac{1}{2}\times30\times30 = 450$ $cm^2$.

Step2: Find area of small triangle

For the small triangle with base $b = 17$ cm and height $h = 19$ cm, $A_2=\frac{1}{2}\times17\times19=\frac{323}{2}=161.5$ $cm^2$.

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_1 - A_2=450-161.5 = 288.5$ $cm^2$.

Answer:

$288.50$ $cm^2$