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 12 m 24 m 9 m 12 m 9 m

Explanation:

Step1: Find area of outer rectangle

$\text{Area}_{\text{outer}} = 54 \times 24 = 1296 \, \text{m}^2$

Step2: Calculate base of cutout

$\text{Base}_{\text{cutout}} = 54 - 9 - 12 - 21 = 12 \, \text{m}$

Step3: Find height of cutout

$\text{Height}_{\text{cutout}} = 24 - 12 = 12 \, \text{m}$

Step4: Area of trapezoidal cutout

$\text{Area}_{\text{cutout}} = \frac{1}{2} \times (9 + 12) \times 12 = 126 \, \text{m}^2$

Step5: Subtract cutout from outer area

$\text{Area}_{\text{final}} = 1296 - 126 = 1170 \, \text{m}^2$

Answer:

1170.0 $\text{m}^2$