Question

area of composite figures - set 3
find the area of the composite figure.
area of composite figures - set 2
find the area of the composite figure.
area of composite figures - set 3
find the area of the composite figure.
area of composite figures - set 2
find the area of the composite figure.

Explanation:

E:

1. Divide into rectangles:

• The composite figure can be divided into three rectangles.
• First rectangle: length $l_1 = 8$, width $w_1=8$. Area $A_1 = 8\times8=64$.
• Second rectangle: length $l_2 = 14$, width $w_2 = 3$. Area $A_2=14\times3 = 42$.
• Third rectangle: length $l_3=11 + 2=13$, width $w_3 = 2$. Area $A_3=13\times2=26$.

1. Sum the areas:

• Total area $A = A_1+A_2+A_3$.
• $A=64 + 42+26=132$.

G:

1. Divide into rectangles:

• The figure can be considered as a large rectangle with a small - rectangle cut out.
• Large rectangle: length $l = 27$, width $w = 21$. Area $A_{large}=27\times21 = 567$.
• Small rectangle: length $l_{small}=9$, width $w_{small}=21 - 16=5$. Area $A_{small}=9\times5 = 45$.

1. Find the area of the composite figure:

• Area $A=A_{large}-A_{small}=567-45 = 522$.

F:

1. Divide into rectangles:

• The figure can be seen as a large rectangle with a small rectangle cut out.
• Large rectangle: length $l = 25$, width $w = 16$. Area $A_{large}=25\times16=400$.
• Small rectangle: length $l_{small}=10$, width $w_{small}=7$. Area $A_{small}=10\times7 = 70$.

1. Find the area of the composite figure:

• Area $A=A_{large}-A_{small}=400 - 70=330$.

H:

1. Divide into rectangles:

• The composite figure can be divided into two rectangles.
• First rectangle: length $l_1 = 13$, width $w_1=15$. Area $A_1=13\times15 = 195$.
• Second rectangle: length $l_2=31 - 13=18$, width $w_2 = 4$. Area $A_2=18\times4=72$.

1. Sum the areas:

• Total area $A=A_1+A_2=195 + 72=267$.

Answer:

• E: 132
• G: 522
• F: 330
• H: 267