Question

1. find the area of the composite figure

a) 51.5
b) 44
c) 32
d) 3

Explanation:

Step1: Calculate rectangle area

$\text{Area}_{\text{rectangle}} = 8 \times 4 = 32$ sq ft

Step2: Calculate right trapezoid area

$\text{Area}_{\text{trapezoid}} = \frac{(3+4)}{2} \times 3 = 10.5$ sq ft

Step3: Calculate left triangle area

$\text{Area}_{\text{left triangle}} = \frac{1}{2} \times 3 \times 3 = 4.5$ sq ft

Step4: Calculate right triangle area

$\text{Area}_{\text{right triangle}} = \frac{1}{2} \times 2 \times 3 = 3$ sq ft

Step5: Sum all component areas

$\text{Total Area} = 32 + 10.5 + 4.5 + 3 = 51.5$ sq ft

Answer:

a) 51.5