WORD PROBLEMS ON PERIMTER OF 2D SHAPES

Problem 1 :

A farmer decides to fence a 400 m by 350 m field with a 4-strand wire fence. Find :

a) The perimeter of the field

b)  The total length of wire required

c) The total cost of wire required if a single strand of wire costs 12.4 cents per metre.

Problem 2 :

Boxes containing computers are fastened with three pieces of tape, as shown.

Each piece of tape is overlapped 5 cm at the join. Calculate the total length of tape required for 20 boxes.

Problem 3 :

The minute hand of a clock is 8 cm long. How far does the tip travel between 2.00 pm and 2.45 pm?

Problem 4 :

Which is the shorter path from A to B :

Around the 2 smaller semi-circles or around the large semi-circle?

Problem 5 :

A machine makes circular paper plates which have circumference 50 cm. find the diameter of a plate correct to the nearest mm.

Problem 6 :

A bicycle wheel has diameter 0.6 m.

a) Find the circumference of the wheel to the nearest mm.

b) Through how many revolutions must the wheel turn during a 100 km trip?

Problem 7 :

a)   Find the perimeter P of the figure alongside, giving your answer in simplest form.

b)   If the perimeter of the figure is 30 cm:

i)  Find x

ii)  Find the length of the longest side.

Answer Key

1)  a) 1500 m  b) 6000 m  c) $ 74400

2)  77 m

3)  37.7 cm

4)  Both are same.

5)  d = 15.9 cm

6)  a)  C = 1.884 m  b)  53078 revolutions

7)  (i)  x = 4   (ii) longest side = 8 cm.


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