Question

what is the area of the shaded region? 17 yd 9 yd 8 yd 15 yd write your answer as a whole number or a decimal rounded to the nearest hundredth. square yards

Explanation:

Step1: Calculate area of large triangle

The area formula for a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 17$ yd and height $h = 15$ yd, $A_{1}=\frac{1}{2}\times17\times15=\frac{255}{2}=127.5$ square - yards.

Step2: Calculate area of small triangle

For the small triangle with base $b = 9$ yd and height $h = 8$ yd, $A_{2}=\frac{1}{2}\times9\times8 = 36$ square - yards.

Step3: Calculate 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 $A=A_{1}-A_{2}=127.5 - 36=91.5$ square - yards.

Answer:

$91.5$