Question

Use familiar figures to find the area of the figure shown. Show all work

Answer 1

the answer to the problem is 44 in^2.

Answer 2

Explanation:

The given figure is a compound figure with a triangle on top followed by a rectangle below and next below is a trapezium

Hence area of the given figure = area of top triangle +area of middle rectangle+area of bottom trapezium

Area of top triangle=
`(1)/(2) (bh) (b=base h=height)=(1)/(2)(4x3)=6`

Area of middle rectangle=
`bh 3x10=30`

area of a trapezoid=
`(1)/(2)h(b_1 +b_2) =(1)/(2)(5+3)2 =8`1/2(base+base)h (two bases because one on top, one on bottom) 1/2(5+3)2=8

Total area = 6+30+8 =44 in^2