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. 2 yd 10 yd 18 yd 8 yd 8 yd 18 yd 6 yd 4 yd label required

Explanation:

Step1: Split figure into 3 parts

Divide the shape into a rectangle, a trapezoid (top right), and a trapezoid (bottom left).

Step2: Calculate area of rectangle

The rectangle has length $18$ yd, width $8$ yd.
Area: $18 \times 8 = 144$ yd²

Step3: Calculate area of top trapezoid

Bases: $2$ yd, $8$ yd; height $10$ yd.
Area: $\frac{1}{2} \times (2 + 8) \times 10 = 50$ yd²

Step4: Calculate area of bottom trapezoid

Bases: $4$ yd, $8$ yd; height $6$ yd.
Area: $\frac{1}{2} \times (4 + 8) \times 6 = 36$ yd²

Step5: Sum all areas

Add the three areas together.
Expression: $144 + 50 + 36$

Answer:

230.0 yd²