lexirbhooks
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  • 09-09-2020
  • Mathematics
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Find the area of the trapezoid by decomposing it into other shapes. A) 48 cm2 B) 55 cm2 C) 66 cm2 D) 96 cm2

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

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 09-09-2020

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]

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