Question

1. find the area of the composite figure

a) 51.5
c) 32
b) 44
d) 3
rectangle:
a = l × w
a = (8)(4)
a = 32
a = 3×3×2

Explanation:

Step1: Calculate rectangle area

$A_{rectangle} = l \times w = 8 \times 4 = 32$ sq ft

Step2: Calculate right trapezoid area

$A_{trapezoid} = \frac{1}{2}(a+b)h = \frac{1}{2}(3+4) \times 3 = 10.5$ sq ft

Step3: Calculate right triangle area

$A_{triangle} = \frac{1}{2}bh = \frac{1}{2} \times 3 \times 2 = 3$ sq ft

Step4: Sum all areas

$A_{total} = 32 + 10.5 + 3 = 44$ sq ft

Answer:

b) 44