Question

what is the area of this figure? provide an answer accurate to the nearest tenth. use 3.14 or a calculator button for pi if needed.

Explanation:

Step1: Split figure into 3 shapes

We have a trapezoid, a large rectangle, and a small rectangle.

Step2: Calculate trapezoid area

Formula: $\frac{1}{2}(a+b)h$, where $a=2$, $b=8$, $h=5$
$\frac{1}{2}(2+8)\times5 = \frac{1}{2}\times10\times5 = 25$ yd²

Step3: Calculate large rectangle area

Formula: $l\times w$, where $l=8$, $w=4$
$8\times4 = 32$ yd²

Step4: Calculate small rectangle area

First find its length: $8-4=4$ yd, width=3 yd
Formula: $l\times w$
$4\times3 = 12$ yd²

Step5: Sum all areas

Add the three calculated areas together.
$25 + 32 + 12 = 69$ yd²

Answer:

69.0 yd²