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. 54 m 12 m 21 m 24 m 12 m 9 m label required

Explanation:

Step1: Find full rectangle area

$\text{Area}_{\text{full}} = 54 \times 24 = 1296$ m²

Step2: Calculate missing base length

$54 - 9 - 12 - 21 = 12$ m

Step3: Find area of missing shape

Split missing shape into a rectangle and a triangle:
Rectangle area: $12 \times 12 = 144$ m²
Triangle base: $12$ m, height: $24 - 12 - 9 = 3$ m
Triangle area: $\frac{1}{2} \times 12 \times 3 = 18$ m²
Total missing area: $144 + 18 = 162$ m²

Step4: Subtract missing from full area

$\text{Area}_{\text{final}} = 1296 - 162 = 940.5$ m²

Answer:

940.5 m²