Question

Find the area of the composite figure

Answer 1

Answer:

27.5 in.^2

Step-by-step explanation:

The figure can be broken up along the dashed line into two simple polygons, a trapezoid to the right and a triangle to the left.

The triangle at left has base 4 in. an height 5 in.

The trapezoid at right has parallel bases of 5 in. and 2 in., and a height of 5 in.

total area = area of triangle + area of trapezoid

total area = BH/2 + (b1 + b2)h/2

total area = (4 in.)(5 in.)/2 + (5 in. + 2 in.)(5 in.)/2

total area = 10 in.^2 + 17.5 in.^2

total area = 27.5 in.^2

Answer 2

Answer:

find the area of the triangle: 5*4=20 divided by 2 is 10.

split the second figure into a rectangle and triangle: 2*5=10 and 5*5 divided by 2 is 12.5

12.5+10+10=32.5

32.5