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: Recall triangle - area formula

The area formula of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Calculate area of the large triangle

For the large triangle, $b = 19$ cm and $h=19$ cm. So $A_{1}=\frac{1}{2}\times19\times19=\frac{361}{2}=180.5$ square - cm.

Step3: Calculate area of the small triangle

For the small triangle, $b = 10$ cm and $h = 14$ cm. So $A_{2}=\frac{1}{2}\times10\times14 = 70$ square - cm.

Step4: Calculate area of the shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=180.5 - 70=110.5$ square - cm.

Answer:

$110.5$