Find the perimeter of the following shapes:
Calculate the outside perimeter of the plot of land on this site plan. All measurements are given in metres.
Consider the following figure:
Find the value of x.
Find the value of y.
Calculate the perimeter.
A backyard is in the following shape. Find the total distance around the perimeter.
Find the perimeter of the following figures, correct to 1 decimal place:
A rectangle of length 12\text{ m}, has two semicircles of radius 3\text{ m} cut out at each end as shown. Find the perimeter of the shaded shape, correct to two decimal places.
Find the perimeter of the shaded arc.
Round your answer to 2 decimal places.
Joanne noticed that these three sectors make up a semicircle. She thinks that the figure will have the same perimeter as a semicircle with radius 9\text{ cm}.
Is Joanne correct? Explain your answer.
Find the exact perimeter of the shape.
Consider the perimeter of the triangle shown:
Find the length of the hypotenuse.
Find the perimeter of the triangle.
A right-angled triangle has two shorter sides measuring 15.4 millimitres and 17.7 millimitres.
Find the length of the hypotenuse. Round your answer to two decimal places.
Calculate the perimeter of the triangle. Round your answer to two decimal places.
Consider the following trapezium:
Find the value of a.
Find the value of b.
Find the value of x. Round your answer to two decimal places.
Find the perimeter of the trapezium. Round your answer to two decimal places.
An outline of a block of land is pictured below:
Find the value of x.
Find the perimeter of the block of land.
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:
What are the dimensions of the pool without the path around it?
Find the perimeter of the pool.
Ellie is fencing a paddock. The boundary is as shown in the diagram. The length across the paddock is 90\text{ m}.
Find the value of x to two decimal places.
What length of fencing does Ellie need in total?
If the cost of the fencing is \$0.21/m, how much will the total fencing cost?
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:
Determine the length, l, of the unknown sides to two decimal places.
Hence, find the length of the brick wall to two decimal places.
If the wall costs on average \$3.00 per metre, how much will the council spend on the wall?
A farmer wants to build a fence around the entire perimeter of his land, as shown in the diagram. The fencing costs \$37 per metre.
Find the value of x, to two decimal places.
Find the value of y, to two decimal places.
How many metres of fencing does the farmer require, if fencing is sold by the metre?
At \$37 per metre of fencing, how much will it cost him to build the fence along the entire perimeter of the land?
The diagram shows the outer walls of a house which is to be treated for insects. Insecticide needs to be sprayed along the bottom of the walls, where 1 L of insecticide covers 20\text{ m} of wall.
Find the value of x. Round your answer to one decimal place.
Find the amount of insecticide needed to treat the whole perimeter of the house in litres, to one decimal place.
The insecticide costs \$18 per litre, the labour cost for the job is \$70 and there is a call-out fee of \$35. Find the total cost of the treatment.
According to IAAF regulations, a standard 400\text{ m} running track consists of a straight section with length 84.39\text{ m} and two semi-circular sections. The radius of the inner edge of Lane 1 is 36.80\text{ m} and the radius of the inner edge of Lane 2 is 38.02\text{ m}.
Calculate the inside perimeter of Lane 1 in metres. Round your answer to two decimal places.
Calculate the inside perimeter of Lane 2 in metres. Round your answer to two decimal places.
In order to cater for the difference in perimeters between lanes, the 400\text{ m} race has a staggered start, so the start line for Lane 2 is different to that for Lane 1. Find the distance between the start line in Lane 1 and the start line in Lane 2. Round your answer to two decimal places.
Construction of a skate park will require metal railing along the perimeter which is shaped as shown. How many metres of railing will be required? Round your answer to one decimal place.
