 4.08 Perimeter of land

Worksheet
Perimeter of land
1

A rectangular block of land is 12\text{ m} long and 9\text{ m} wide. A fence is to be constructed around the perimeter. What is the length of the fence?

2

An outline of a block of land is pictured below.

Find the perimeter in metres.

3

Calculate the outside perimeter of the plot of land on this site plan. All measurements are given in metres.

4

An outline of a block of land is pictured below:

a

Find the value of x.

b

Find the perimeter of the block of land.

5

Consider the following section of a street map:

Use the scale to estimate the perimeter of the shaded block of land in metres.

Applications
6

In the following diagram, each square of the grid has a side length of 30\text{ m}. A jogger runs the perimeter of the park four times each morning.

a

Calculate the distance of one lap of the park.

b

How far will the jogger run each week? Give your answer in kilometres to two decimal places.

7

In the following diagram, each square of the grid has a side length of 15\text{ m}. A jogger runs a lap along two sides of the park, then crosses to the opposite corner. He runs 5 laps each morning.

a

What is the distance of one lap?

b

How far will the jogger run each week?

8

A rectangular block of land is 25\text{ m} long and 12\text{ m} wide. A fence is to be constructed around the perimeter.

a

Calculate the length of the fence.

b

Fencing costs \$47 per linear metre. Calculate the fencing cost, to the nearest dollar for this block of land. 9 An outline of a block of land is pictured below: a Calculate the perimeter. b Fencing costs \$32 per linear meter. Calculate the fencing cost, to the nearest cent, for this block of land.

10

Ellie is fencing a paddock. The length across the paddock is 90\text{ m}. The boundary is as shown in the diagram:

a

Find the value of x correct to two decimal places.

b

Find the length of fencing Ellie needs in total. Round your answer to two decimal places.

c

If the cost of the fencing is \$0.21 \text{/m}, how much will the total fencing cost? 11 The local council is investing in a low brick wall built around one of their parks. The known dimensions of the park are shown in the diagram: a Determine the length, l, of the unknown sides. Round your answer to two decimal places. b Hence, find the length of the brick wall correct to two decimal places. c If the wall costs on average \$3.00 per metre, how much will the council spend on the wall?

12

The diagram shows an aerial view of a swimming pool. The pool is surrounded by rectangular pavers.

Each paver is 120\text{ cm} long and 60\text{ cm} wide.

a

What is the perimeter of the pool? Use the outside edge and round your answer to two decimal places.

b

As part of his daily exercise routine, Lachlan does 500\text{ m} of walking.

How many laps around the pool will Lachlan have to walk, to reach his daily exercise goal?