Question

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

Answer 1

Option C.
`64\ cm^2`

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=(1)/(2)(5)(4)+(12)(4)+(1)/(2)(3)(4)`

`A=10+48+6`

`A=64\ cm^2`