Find the area of the trapezoid by decomposing it into other shapes. A) 48 cm2 B) 55 cm2 C) 66 cm2 D) 96 cm2

Answer:
The answer is B.
Step-by-step explanation:
You have to use area of trapezoid formula, A = 1/2×(a+b)×h where a, b are the side lengths and h is height :
[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]
[tex]let \: a = 6,b = 16,h = 5[/tex]
[tex]area = \frac{1}{2} \times (6 + 16) \times 5[/tex]
[tex]area = \frac{1}{2} \times 22 \times 5[/tex]
[tex]area = 11 \times 5[/tex]
[tex]area = 55 \: {cm}^{2} [/tex]