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shtirl [24]
2 years ago
12

Find the area of the trapezoid by decomposing it into other shapes. A) 56 cm2 B) 60 cm2 C) 64 cm2 D) 72 cm2 Eli

Mathematics
1 answer:
Marrrta [24]2 years ago
4 0

Answer:

Option C. 64\ cm^2

Step-by-step explanation:

see the attached figure N 1 to better understand the problem

we know that

The trapezoid can be decomposed into two right triangles and a rectangle

see the attached figure N 2

so

The area of the trapezoid is equal to the area of two right triangles and one rectangle

The area of trapezoid is equal to

A=\frac{1}{2}(5)(4)+(12)(4)+\frac{1}{2}(3)(4)

A=10+48+6

A=64\ cm^2

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