# Class 7 Mathematics Length, Perimeter and Area: Perimeter and Circumference

In this session, we are going to solve Length, Perimeter and Area: Perimeter and Circumference questions. Answers are given in video format.

Lessons (**36**) * SHARE*

- 1.
The figure below is a semicircle of diameter 14 metres. What is the perimeter of the figure ? (Take #pi=22/7#)
A. 77 m
B. 36 m
C. 22 m
D. 58 m

2m 21s - 2.
Wanyama wants to put a fence round his rectangular plot 36 m long and 30 m wide. The interval between the posts is 3 m and the cost of each fencing post is sh. 10. Calculate the amount of money Wanyama will require to buy fencing posts?
A. Sh 450
B. Sh 220
C. Sh 440
D. Sh 3600

2m 41s - 3.
The diagram below represents Ojil’s piece of land. He put fence around it. How many posts did he use if the spacing between the posts was 3 metres ?
A. 120
B. 90
C. 360
D. 121

3m 45s - 4.
The figure below represents a flower garden. The diameter QR of the smaller semicircle is 14 m. What is the perimeter of this garden?
A. 66 m
B. 80 m
C. 146m
D. 231m

4m 17s - 5.
A rectangular plot of land of length 44 m has an area of 1760 #m^2#. What is the perimeter of this plot of land?
A. 84 m
B. 128 m
C. 176 m
D. 168 m

2m 21s - 6.
A bicycle wheel has a radius of 35 cm. what distance in kilometres does the wheel cover after 100 revolutions? (Take #pi=22/7#)
A. 0.22
B. 2.2
C. 22
D. 220

3m 18s - 7.
Mwaka used 44 pegs to mark around a circular animal shed. The interval between the pegs was 3 m. What is the radius of the shed? (Take #pi=22/7#)
A. 132 m
B. 42 m
C. 7 m
D. 21 m

3m 1s - 8.
The diagram below shows Amalemba’s piece of land. He put a fence around it. How many posts did she use if the spacing between the posts was 4 metres?
A. 54
B. 79
C. 80
D. 81

3m 16s - 9.
A wheel covers a distance of 44 metres after making 10 revolutions. What is the radius of the wheel in metres? ( Take #pi=22/7#)
A. 0.7 m
B. 1.4 m
C. 2.2 m
D. 7.0 m

3m 13s - 10.
The diagram below shows Wanja’s plot of land. What is the perimeter of the plot?
A. 300
B. 280
C. 270
D. 230

4m 18s - 11.
The diagram below shows a running track whose dimensions are given in metre. The ends of the track are semi-circular. What is perimeter of the
track? (Take #pi=22/7#)
A. 198 m
B. 301 m
C. 328 m
D. 400 m

2m 45s - 12.
The figure below represents a plot surrounded by a part of circular path and two straight paths. The two straight paths, each measuring 6.3 m are also
radii of the circle meeting at a right angle. What is the total length of the path surrounding the plot? ( Take #pi=22/7#).
A. 12.6 m
B. 29.7 m
C. 39.6 m
D. 42.3 m

3m 9s - 13.
The length of a side of a square plot of land is 26 m. A farmer left a space of 2 m for the gate and fenced round the remaining part with 3 strands of wire. What was the total length of the wire used?
A. 306 m
B. 310 m
C. 102 m
D. 312 m

2m 40s - 14.
A design was made of straight edges of lengths 2.1 cm and arcs of circles of radii 2.1 cm as shown in the diagram below. What is the perimeter of the
design? (Take #pi=22/7#)
A. 36.12 cm
B. 34.8 cm
C. 26.4 cm
D. 21.6 cm

4m 38s - 15.
The figure below represents a vegetable garden.What is the perimeter of the garden?
A. 39 m
B. 51 m
C. 54 m
D. 60 m

3m 32s - 16.
The design below is made up of a pair of parallel lines each 3 cm long, two small half circles each of diameter 7 cm and two large half circles each of diameter 14 cm. What is the perimeter of the design? (Take #pi==22/7#)
A. 39 cm
B. 66 cm
C. 72 cm
D. 136.5 cm

4m 20s - 17.
The figure below represents a plot of land How many posts, one metre apart will be needed to fence the plot?
A. 171
B. 170
C. 169
D. 150

4m 46s - 18.
The figure below represents the design of a window. The design consists of a square of sides 5 cm, a circle of diameter 7 cm and a rectangular frame measuring 26 cm by 15 cm. The square and the circle are joined to each other and to the frame by lines each 4 cm long. What is the total length, in
cm of the metal needed to make the design? (Take #pi=22/7#)
A. 42
B. 82
C. 124
D. 152

5m 13s - 19.
The figure below is made up of semi-circles joined by straight lines. What is the perimeter of the figure? (take #pi=22/7#)
A. 18 cm
B. 22 cm
C. 29 cm
D. 51 cm

3m 33s - 20.
A rectangular plot measuring 46m by 38m is to be fenced all round. If three strands of wire are to be used, what would be the total length of wire required in metres?
A. 168
B. 252
C. 504
D. 5244

2m 35s - 21.
The diagram below shows a plot of land made up of two semi-circles with same centre. The diameters of the semi-circles are 28metres and 56 metres.
If pegs were put at intervals of 2 metres all the way round, how many pegs were used? (Take #pi=22/7#)
A. 78
B. 66
C. 80
D. 144

4m 49s - 22.
The figure below represents a vegetable garden bound by two semi-circles, 5m apart. The diameter of the larger semi-circle is 30m. What is the perimeter of the garden?
A. 78.50 m
B. 88.50 m
C. 83.50 m
D. 96.35 m

3m 11s - 23.
A rectangular plot of land measures 40m by 30. There is a wall on one of the longer sides. Four strands of wire are used to fence the remaining sides of the plot. What is the length of wire is required?
A. 4800 m
B. 560 m
C. 400 m
D. 100 m

2m 13s - 24.
The figure below represents a plot of land bounded by three straight edges and a semi-circle. Three strands of wire are used to fence the plot.
What is the length in metres of the wire used? (Take #pi=22/7#)
A. 660
B. 1980
C. 2640
D. 24420

3m 11s - 25.
A circular plot was fenced by two equal strands of wire whose total length was 440 m. What was the radius of the plot? (Take #pi=22/7#)
A. 17#1/2#m
B. 35 m
C. 70 m
D. 140 m

3m 35s - 26.
The perimeter of a rectangular plot of land is 280 metres. The width of the plot is 60 metres. What is the length of the plot?
A. 70 m
B. 80 m
C. 110 m
D. 160 m

2m 5s - 27.
How many fencing posts, spaced 5 m apart, are required to fence a rectangular plot measuring 745 m by 230 m?
A. 391
B. 390
C. 195
D. 196

2m 21s - 28.
A plot of land is in the shape of semicircle of diameter 28 metres as shown below. The plot was fenced by erecting posts 4 metres apart. How many posts were used? (Take #pi=22/7#)
A. 12
B. 17
C. 18
D. 19

2m 24s - 29.
The figure below represents a flower garden. The garden is to be fenced all around using four strands of wire. What length of the wire in metres is required? (Take#pi=22/7#)
A. 208.8
B. 129.6
C. 79.2
D. 32.4

2m 31s - 30.
The perimeter of a rectangular plot of land is 57.98 m. if the width of the plot is 8.6 , what is its length?
A. 20.39 m
B. 24.69 m
C. 40.78 m
D. 49.38 m

2m 17s - 31.
Mwakio fenced a rectangular piece of land measuring 15 m and 31 m. He used six strands of wire, leaving a space of 5 m for the gate. What was the total length of the wire used?
A. 552 m
B. 522 m
C. 547 m
D. 87 m

2m 45s - 32.
The figure drawn below is a rectangle. What is the perimeter of the rectangle?
A. 52 cm
B. 42 cm
C. 26 cm
D. 9 cm

3m 17s - 33.
The figure below represents a piece of land. What distance would be covered if one was to walk two and a half times round it?
A. 1600 m
B. 1050 m
C. 775 m
D. 420 m

3m 5s - 34.
A field was to be fenced using 816 posts placed 4 metres apart, leave a 4 m space for the gate. If 3 strands of wire were to be used, what would be the
total length of wire required?
A. 3260
B. 3264
C. 9780
D. 9792

3m 13s - 35.
The perimeter of the figure below 1120 m. What is the area of the figure in ares?
A. 7.59
B. 75.9
C. 759
D. 75900

4m 40s - 36.
The area of a rectangular piece of land is 220# m^2#. Its width is 12.5 m. what is the perimeter of the piece of the land?
A. 17.6 m
B. 30.1 m
C. 60.2m
D. 70.4 m

2m 42s

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