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 shape into 3 parts

Divide the figure into a rectangle, a larger rectangle, and a triangle.

Step2: Calculate area of top rectangle

Top rectangle: $A_1 = 3 \times 5 = 15$ square inches

Step3: Calculate area of middle rectangle

Middle rectangle dimensions: length $3+8=11$ in, height $9-5=4$ in.
$A_2 = 11 \times 4 = 44$ square inches

Step4: Calculate area of bottom triangle

Triangle base $9-8=1$ in, height $9-4=5$ in.
$A_3 = \frac{1}{2} \times 1 \times 10 = 10$ square inches

Step5: Sum all areas

Total area: $A = 15 + 44 + 10 = 69.0$ square inches

Answer:

69.0 square inches