Question

area of composite figures - set 2
find the area of the composite figure.
g
area of composite figures - set 2
find the area of the composite figure.
i
area of composite figures - set 2
find the area of the composite figure.
h
area of composite figures - set 2
find the area of the composite figure.
j

Explanation:

G:

Step1: Divide the figure into two rectangles

The first rectangle has dimensions \(27\times16\) and the second has dimensions \((27 - 9)\times(21 - 16)\)
The area of the first rectangle \(A_1=27\times16 = 432\)
The area of the second rectangle \(A_2=(27 - 9)\times(21 - 16)=18\times5 = 90\)

Step2: Calculate the total area

\(A = A_1+A_2=432 + 90=522\)

H:

Step1: Divide the figure into two rectangles

The first rectangle has dimensions \(13\times15\) and the second has dimensions \((31 - 13)\times4\)
The area of the first rectangle \(A_1=13\times15 = 195\)
The area of the second rectangle \(A_2=(31 - 13)\times4=18\times4 = 72\)

Step2: Calculate the total area

\(A=A_1 + A_2=195+72 = 267\)

I:

Step1: Divide the figure into two rectangles

The first rectangle has dimensions \(14\times8\) and the second has dimensions \(14\times(17 - 8)\)
The area of the first rectangle \(A_1=14\times8 = 112\)
The area of the second rectangle \(A_2=14\times9 = 126\)

Step2: Calculate the total area

\(A=A_1+A_2=112 + 126=238\)

J:

Step1: Divide the figure into three rectangles

Top - rectangle: \(16\times9\), left - rectangle: \(4\times12\), right - rectangle: \(4\times12\)
The area of the top rectangle \(A_1=16\times9=144\)
The area of the left rectangle \(A_2 = 4\times12=48\)
The area of the right rectangle \(A_3=4\times12 = 48\)

Step2: Calculate the total area

\(A=A_1+A_2+A_3=144 + 48+48=240\)

Answer:

G. 522
H. 267
I. 238
J. 240