Question

what is the area of the shaded region? 15.5 yd 9.5 yd 12.4 yd 7.2 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 $b = 15.5$ yd and height $h=12.4$ yd, $A_{1}=\frac{1}{2}\times15.5\times12.4$.
$A_{1}=\frac{1}{2}\times15.5\times12.4 = 96.1$ square - yards.

Step2: Calculate area of small triangle

For the small triangle with base $b = 9.5$ yd and height $h = 7.2$ yd, using the area formula $A=\frac{1}{2}bh$, we have $A_{2}=\frac{1}{2}\times9.5\times7.2$.
$A_{2}=\frac{1}{2}\times9.5\times7.2=34.2$ square - yards.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$.
$A=96.1 - 34.2=61.90$ square - yards.

Answer:

$61.90$ square yards