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

Answer:

Step-by-step 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= $\frac{1}{2} (bh) (b=base h=height)=\frac{1}{2}(4x3)=6$

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

area of a trapezoid=$\frac{1}{2}h(b_1 +b_2) =\frac{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