WORD PROBLEMS ON PERIMETER OF 2D SHAPES WORKSHEET

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.

Solution

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.

Solution

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?

Solution

Problem 4 :

Which is the shorter path from A to B :

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

Solution

Problem 5 :

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

Solution

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?

Solution

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.

Solution

Problem 8 :

Length of a rectangular field is 220 m and width is 130 m. If a man runs around this field 3 times, find the distance covered by him?

Solution

Problem 9 :

Rahul walks around a square park once and covers 800 m. What will be the area of the park ?

Solution

Problem 10 :

The area of a rectangular field is 1600 sqm. If the length of the field is 80 m, find the perimeter of the field?

Solution

Find the perimeter of the following:

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

Kim decides to get fit by running laps of a nearby shopping complex. Its dimensions are shown in the diagram alongside.

How many laps does he have to complete to run 13 km in total?

Solution

Problem 8 :

A rectangular field measured 290 m by 210 m. How long will it take for a girl to go two times round the field, if she walks at the rate of 1.5 m/s ?

Solution

Problem 9 :

A wire is in the shape of a rectangle whose length is 40 cm and breadth is 22 cm .If same wire is bent in the shape of square ,what will be the measure of each side ? Also find which shape encloses more area.

Solution

Problem 10 :

The triangle and square have the same perimeter. Find x

Solution

Problem 11 :

An isosceles triangle has a perimeter of 73cm.

An equilateral triangle has a perimeter of 51cm

The triangles are put together to make a kite.

Workout the perimeter of the kite.

Solution

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5:

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Problem 6 :

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Problem 7 :

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Problem 8:

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Problem 9 :

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Problem 10 :

If length and width of a rectangular is halved then its area will be _______

Solution

Problem 11 :

The wire of length 84 m is converted into a square then broken to form a rectangle of length 30 m. Find the width of the rectangle.

Solution

Problem 12 :

The ratio of lengths of two rectangular fields is 4 : 3 and the ratio of their widths is 3 : 2. Find the ratio of their areas.

Solution

Problem 13 :

The area of a square is 3/4 times area of a rectangle and width of the rectangle is 1/4 times of its length. Find the area of the square if the sum of length and width of the rectangle is 15 m

Solution

Problem 14 :

The length of the diagonal of a square is 50. Find the perimeter of a square.

Solution