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03.067 MP 1/1 WS Name: ____________________ More Perimeter Student Number: ____________________ Seriously Addictive Maths Date/Time: ____________________

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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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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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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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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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(b)

Perimeter = 15 cm + 25 cm + 25 cm + 15 cm + 25 cm +

25 cm = 130 cm

c)


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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(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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(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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(f)


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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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?


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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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(c)


(d)


Perimeter = 14 cm Perimeter = 12 cm

Perimeter = 12 cm Perimeter = 14 cm Ser

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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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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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6. For each pair of figures, circle the one with the larger perimeter.

(a)


(b)

3 cm

8 cm 9 cm

4 cm Serious

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7.

Figure A Figure B


Figure C Figure D


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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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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9. The figure is made up of 5 identical squares of

sides 8 cm.

(a) What is the perimeter of the figure?


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?


Perimeter = 8 cm × 12 = 96 cm

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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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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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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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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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(c) If I stick the stickers only along the border, how many stickers would I need? 18 stickers

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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


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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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