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Area And Perimeter Of Composite figures and Word Problems

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

Find the length XY of the figure.

a)

7 m

b)

8 m

c)

10 m

d)

12 m

2.

The figure is made up of a rectangle ABFG and a square CDEF. 

The area of the rectangle is twice the area of the square. 

The area of the square is 16 cm2. 

The perimeter of the figure is _______ cm.

a)

24 cm

b)

32 cm

c)

36 cm

d)

40 cm

3.

The figure is made up of 5 identical squares.  

The area of the figure is 245 m2. 

The perimeter of the figure is _______ m.

a)

77 m

b)

84 m

c)

91 m

d)

98 m

4.

Figures A and B are squares. 

The length of square B is half the length of square A. 

The area of the shaded part is 32 cm2. 

The area of square A is _______ cm2.

a)

144 cm2144\ cm^2

b)

156 cm2156\ cm^2

c)

192 cm2192\ cm^2

d)

256 cm2256\ cm^2

5.

The figure is made up of square PQRS placed on top of square ABCD.  

What is the area of the shaded part of the figure?

a)

64 cm264\ cm^2

b)

80 cm280\ cm^2

c)

100 cm2100\ cm^2

d)

120 cm2120\ cm^2

6.

Judy had a piece of land measuring 28 m by 

21 m. A path was placed around her swimming pool as shown. Find the area of the swimming pool. 

a)

485 m2485\ m^2

b)

452 m2452\ m^2

c)

352 m2352\ m^2

d)

382 m2382\ m^2

7.

Judy had a piece of land measuring 28 m by 

21 m. A path was placed around her swimming pool as shown. Find the area of the path way (the shaded part) 

a)

236 m2236\ m^2

b)

448 m2448\ m^2

c)

588 m2588\ m^2

d)

628 m2628\ m^2

8.

A rectangular photograph measuring 30 cm by 20 cm is pasted on a rectangular piece of paper. It has a border of 5 cm around it. 

What is the area of the photograph?

a)

300 cm2300\ cm^2

b)

400 cm2400\ cm^2

c)

500 cm2500\ cm^2

d)

600 cm2600\ cm^2

9.

A rectangular photograph measuring 30 cm by 20 cm is pasted on a rectangular piece of paper. It has a border of 5 cm around it. 

What is the area of the border?

a)

300 cm2300\ cm^2

b)

400 cm2400\ cm^2

c)

500 cm2500\ cm^2

d)

600 cm2600\ cm^2

10.

A field measures 50 m by 20 m. 

James makes a footpath of width 3 m around it. 

A fence is placed around the footpath. 

How many metres of fence are needed?

a)

148 m

b)

158 m

c)

162 m

d)

164 m

11.

A field measures 50 m by 20 m. 

James makes a footpath of width 3 m around it. 

A fence is placed around the footpath. 

Find the area of the footpath?

a)

1456 m21456\ m^2

b)

1000 m21000\ m^2

c)

654 m2654\ m^2

d)

456 m2456\ m^2

12.

What Do You think about this topic?

a)

It's So easy I'm Ready for test anytime

b)

It's So hard. I need to Practice More

c)

50% easy, 50% hard

d)

I'm Totally Lost