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 into 3 shapes

Divide figure into rectangle, rectangle, triangle.

Step2: Calc first rectangle area

$A_1 = 3 \times 9 = 27$ in²

Step3: Calc second rectangle dimensions

Width: $9-3=6$ in, Height: $9-5=4$ in

Step4: Calc second rectangle area

$A_2 = 6 \times 4 = 24$ in²

Step5: Calc triangle dimensions

Base: $9-8=1$ in, Height: $9-4=5$ in

Step6: Calc triangle area

$A_3 = \frac{1}{2} \times 1 \times 5 = 2.5$ in²

Step7: Sum all areas

$A = 27 + 24 + 2.5 = 69.5$ in²

Answer:

69.5 in²