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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 1
Draw a rectangle measuring 6 cm by 5 cm in the space below. 6cm 5cm What is the perimeter of the rectangle above? 6 cm + 5 cm + 6 cm + 5 cm = 22 cm
Remember: Perimeter is the distance surrounding a figure.
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
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Now draw a rectangle measuring 8 cm by 3 cm in the space below. 8cm 3cm What is the perimeter of the rectangle above? 8 cm + 3 cm + 8 cm + 3 cm = 22 cm Do the two rectangles have the same perimeter? Yes
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 3
I have now drawn another figure below. Now, if this figure has the same perimeter as the two shapes that you have drawn, what is the missing length? Perimeter of the figure above is 22 cm This means: 3 cm + 5 cm + 5 cm + 3 cm + Missing Length = 22 cm (Sum up the known lengths first)
16 cm + ? cm = 22 cm
16 cm + 6 cm = 22 cm
Thus, the missing length is 6 cm.
3 cm
Missing Length?
5 cm m vdfsafcccccmccm
5 cm vdfsafcccccmccm
3 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
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1. Find the perimeter of the following figures.
(a)
Perimeter = 12 cm + 30 cm + 12 cm + 30 cm = 84 cm
30 cm 30 cm
12 cm
12 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
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(b)
Perimeter = 15 cm + 25 cm + 25 cm + 15 cm + 25 cm +
25 cm = 130 cm
c)
Perimeter = 14 cm + 17 cm + 24 cm + 14 cm + 17 cm +
24 cm = 110 cm
25 cm 25 cm
25 cm 25 cm
15 cm 15 cm
14 cm
14 cm
17 cm
17 cm 24 cm
24 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 6
(d)
Perimeter
= 105 cm + 75 cm + 105 cm + 75 cm + 105 cm + 75 cm
+ 105 cm + 75 cm
= 720 cm
105 cm
75 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 7
(e)
Perimeter = 5 cm + 12 cm + 7 cm + 8 cm + 12 cm + 20
cm = 64 cm
8 cm
20 cm
5 cm
12 cm 12 cm
7 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 8
(f)
Perimeter = 22 cm + 17 cm + 15 cm + 52 cm + 22 cm +
17 cm + 15 cm + 52 cm = 212 cm
15 cm
17 cm
15 cm
52 cm
17 cm
22 cm 22 cm
52 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 9
2. This is a 1-cm square unit.
(a) In the space below, draw 2 similar squares joining
the square unit given.
(b) What is the total length of the figure above?
3 cm
(c) What is the perimeter of the figure above?
Perimeter = 3 cm + 3 cm + 1 cm + 1 cm = 8 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 10
3. The figures below are made up of 1-cm square
units.
What is the difference in perimeter between each
pair of figures?
(a)
Difference in perimeter = 10cm - 10cm = 0cm
(No difference in perimeter)
(b)
Difference in perimeter = 12 cm – 8 cm = 4 cm
Perimeter = 10 cm Perimeter = 10 cm
Perimeter = 12 cm Perimeter = 8 cm Serious
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 11
(c)
Difference in perimeter = 14 cm – 12 cm = 2 cm
(d)
Difference in perimeter = 14 cm – 12 cm = 2 cm
Perimeter = 14 cm Perimeter = 12 cm
Perimeter = 12 cm Perimeter = 14 cm Ser
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 12
4.
(a) Find the perimeter of the figure above if the
length of each square unit is 1 cm.
16 cm
(b) Find the perimeter of the figure above if the
length of each square unit is 2 cm.
32 cm
(c) Find the perimeter of the figure above if the
length of the square unit is 3 cm.
48 cm Serious
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 13
5. For each pair of figures, circle the one with the smaller perimeter.
(a)
2-cm square unit 3-cm square unit
(b)
10 cm
12 cm
20 cm
4 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 14
6. For each pair of figures, circle the one with the larger perimeter.
(a)
5-cm square unit 3-cm square unit
(b)
3 cm
8 cm 9 cm
4 cm Serious
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 15
7.
Figure A Figure B
1-cm square unit 2-cm square unit
Figure C Figure D
3-cm square unit 4-cm square unit
Find the perimeter of the above figures.
Figure Perimeter
A 14 cm
B 24 cm
C 24 cm
D 32 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 16
8. The figures below are made up of square units.
(a)The perimeter of the figure below is 28 cm.
What is the length of each square unit?
Since there are 14 sides of square units,
Length of each square unit = 28 cm ÷ 14 = 2 cm
(b) The perimeter of the figure below is 54 cm.
What is the length of each square unit?
Since there are 18 sides of
square units,
Length of each square unit
= 54 cm ÷ 18 = 3 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 17
9. The figure is made up of 5 identical squares of
sides 8 cm.
(a) What is the perimeter of the figure?
Since there are 20 sides of square units,
Perimeter = 8 cm × 20 = 160 cm
(b) If I line the squares up along a straight line, what
is the perimeter of this new figure?
Since there are 12 sides of square units,
Perimeter = 8 cm × 12 = 96 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 18
10. A rectangle field measures 200 m by 120 m. (a) Thomas runs round the field a total of 4 times. What is the distance that he ran?
Perimeter of field = 1 round around the field
Perimeter = 200 m + 120 m + 200 m + 120 m
= 640 m
4 times round the field = 4 × 640 m
= 2560 m
Thomas ran 2560 m.
(b) His friend Jimmy runs along the length of the field a total of 12 times. Who ran a longer distance – Thomas or Jimmy?
Distance Jimmy ran = 12 × 200 m = 2400 m
Distance Thomas ran = 2560 m
Therefore, Thomas ran a longer distance.
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 19
11. The figure below is made up of 5 equal rectangles
and its perimeter is 50 cm.
The breadth of each rectangle is 2 cm.
Find the length of each rectangle.
Perimeter = 10 breadth + 2 length = 50 cm
Since 1 breadth = 2 cm
10 breadth = 10 × 2 cm = 20 cm
2 length = 50 cm – 20 cm = 30 cm
1 length = 30 cm ÷ 2 = 15 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 20
12. I have a piece of paper measuring 50 cm by
60 cm. If I want to divide this paper into two, there
are two ways that I can do this.
(a) What will be the following measurements, if I were to cut it in this way:
Length = 60 cm
Breadth = 25 cm
Perimeter of one piece = 170 cm
(b) What will be the following measurements, if I were to cut it in this way:
Length = 50 cm
Breadth = 30 cm
Perimeter of one piece = 160 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 21
13. An exercise book page measures 18 cm by 25 cm. A sticker measures 3 cm by 5 cm. I would like to stick them in this way: (a) How many stickers can I stick along one row?
6 stickers
(b) How many stickers can I stick along one column?
5 stickers
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 22
(c) If I stick the stickers only along the border, how many stickers would I need? 18 stickers
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 23
14. This figure is made up of 2 equal rectangles. Find the perimeter of the figure. 10 cm
8 cm
Length = 10 cm + 10 cm
= 20 cm
Perimeter = 20 cm + 8 cm + 20 cm + 8 cm = 56 cm
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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________
Copyright © Seriously Addictive Maths. All Rights Reserved. Page 24
15. This figure is made up of 3 equal rectangles. Find the perimeter of the figure. 9 cm
13 cm
Perimeter of 1 rectangle
= 9 cm + 13 cm + 9 cm + 13 cm
= 44 cm
Total perimeter = 3 × 44 = 132 cm
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