# 4.02 Calculating perimeter

Worksheet
Perimeter
1

Find the perimeter of the following shapes:

a
b
c
d
e
f
g
h
i
j
k
l
m
2

Find the perimeter of the following:

a

A square with each side 6\text{ cm} long.

b

A square with each side 9.1\text{ m} long.

c

A rectangle with length 4\text{ m} and width 23\text{ m}.

d

A rectangle with length 17\text{ mm} and width 7\text{ mm}.

e

A rectangle with length 17\text{ cm} and width 8\text{ cm}.

f

A scalene triangle with side lengths 15\text{ mm}, 19\text{ mm} and 22\text{ mm}.

g

A regular octagon with length 7\text{ mm}.

3

Find the perimeter of an isosceles triangle where the two equal side lengths are 16\text{ mm} each and the third side measures 4\text{ mm}.

4

For the following:

i

Find the length x.

ii

Find the length y.

iii

Calculate the perimeter of the figure.

a
b
5

Find the perimeter of the following shapes:

a
b
c
6

For each of the following shapes:

i

Find the value of the pronumeral.

ii

Calculate the perimeter.

a
b
c
Dimensions from perimeter
7

Find the missing side lengths of the following figures:

a
b
c
d
e
f
g
h
i
j
8

Find the side length of the following shapes:

a

A square with perimeter 16\text{ mm}

b

A rectangle with perimeter 42\text{ cm} and width 7\text{ cm}

c

A regular hexagon with perimeter 96\text{ m}.

d

A triangle with perimeter 29\text{ m} and side lengths 8\text{ m} and 8\text{ m}.

9

A square has the same perimeter as an equilateral triangle. If the triangle has sides of length 12 \text{ cm}, find the side length of the square.

10

The length of a rectangle is twice its width, and its perimeter is 30 \text{ cm}. Let the width of the rectangle be x \text{ cm.}

a

Write an expression for the perimeter of the rectangle in terms of x.

b

Find the length and width of the rectangle.

Applications
11

Sandy wants to build a thin wire frame for a photo that is 12 \text{ cm} long and 5 \text{ cm} wide.

Determine the length of wire she will need to go around the entire photo.

12

A rectangular athletics field is 140 metres long and 40 metres wide. How many kilometers will an athlete run by completing 6 laps around the edge of the field?

13

A fence is to be constructed around a rectangular building site measuring 17 \text{ m} by 26 \text{ m.}

Find the cost of constructing the fence at \\$26 per metre.

14

A swimming pool has a 3\text{ m} wide path around its edge. The outer width of the path is 15 \text{ m} and the length is 29 \text{ m}, as shown in the diagram:

a

Find the dimensions of the pool.

b

Find the perimeter of the pool.

15

A present is contained in a cube shaped box. Ribbon is wrapped around the sides as shown in the first diagram below:

a

If the side length of the box is 10\text{ cm}, what is the shortest length of the ribbon needed to neatly go around the box without overlap?

b

The bow requires 8\text{ cm} of ribbon. What length of ribbon is needed in total?

c

What is the total length of ribbon needed if we wrap the present with two lengths of ribbon, as shown in the second diagram? Assume a single bow is tied.