Question

what is the area of the shaded region? 12.2 cm 18.8 cm 8.3 cm 12.8 cm write your answer as a whole number or a decimal rounded to the nearest hundredth. square centimeters

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 $b = 12.8$ cm and height $h = 18.8$ cm, we have $A_{1}=\frac{1}{2}\times12.8\times18.8 = 120.32$ $cm^{2}$.

Step2: Calculate area of small triangle

For the small triangle with base $b = 8.3$ cm and height $h = 12.2$ cm, using the area - of - a - triangle formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times8.3\times12.2 = 50.63$ $cm^{2}$.

Step3: Calculate area of shaded region

The area of the shaded region $A$ is the difference between the area of the large triangle and the area of the small triangle. So $A=A_{1}-A_{2}=120.32 - 50.63=69.69$ $cm^{2}$.

Answer:

$69.69$