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

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

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

$A=10+48+6$

$A=64\ cm^2$