Question

what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Find area of large triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 28$m and height $h=28$m, $A_{1}=\frac{1}{2}\times28\times28=392$m².

Step2: Find area of small triangle

For the small triangle with base $b = 12$m and height $h = 12$m, using the area - of - a - triangle formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times12\times12 = 72$m².

Step3: Find area of shaded region

The area of the shaded region $A$ is the area of the large triangle minus the area of the small triangle. So $A=A_{1}-A_{2}=392 - 72=320$m².

Answer:

320 m²