8.01 Perimeter

Find the perimeter of the following:

a

b

c

d

e

Find the perimeter of the following:

Find the perimeter of the following triangles:

a

b

c

d

Find the perimeter of an isosceles triangle where the 2 equal side lengths are 16 \text{ mm} each and the third side measures 4 \text{ mm}.

Find the perimeter of the following kites:

a

b

c

Find the perimeter of the following parallelograms:

a

b

c

Find the circumference of the following circles, rounding your answers to two decimal places:

a

b

c

Find the circumference of each circle with the given details, round your answers to two decimal places:

Find the radius, r, of a circle with circumference C = 14 \text{ cm}. Round your answer to two decimal places.

Find the diameter, D, of the following circles, rounding your answers to two decimal places:

Find the perimeter of the semicircles described below, rounding your answers to two decimal places:

Find the perimeter of the sectors described below, rounding your answers to two decimal places:

Find the perimeter of the following figures:

a

b

c

d

e

f

g

h

i

j

k

l

Find the perimeter of the following:

Find the length of each side of the following shapes, given the perimeter P :

a

b

Find the side length of the following shapes:

Consider the following figure:

a

Find the length x.

b

Calculate the perimeter of the figure.

For each of the figures below, find:

a

b

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.

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 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?

An outline of a block of land is pictured below:

a

Calculate the perimeter.

b

Fencing costs \$32 per metre. Calculate the fencing cost for this block of land.

A swimming pool has a 3 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.

Xavier is tiling his bathroom with equilateral triangular tiles. He knows the perimeter of each tile, but he needs to find the length of each side.

If one tile has a perimeter of 51 \text{ cm}, calculate the length of each side.

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.

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.

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 cm, what is the shortest length of the ribbon needed to neatly go around the box without overlap?

b

The bow requires 8 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.