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.
Consider the following figure:
Find the length x.
Find the length y.
Find the length z.
Calculate the perimeter.
A backyard is in the following shape:
Find the total distance around the perimeter.
Find the perimeter of a square if each side is 6\text{ cm} long.
Find the perimeter of the following figures, correct to one decimal place:
A rectangle has two semicircles of radius 3\text{ m} cut out at each end as shown:
Find the perimeter of the shape, correct to two decimal places.
Find the perimeter of the shaded arc, correct to two 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 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 \text{ mm} and 17.7 \text{ mm}.
Find the length of the hypotenuse, correct to two decimal places.
Calculate the perimeter of the triangle, correct 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:
Find the dimensions of the pool without the path around it.
Find the perimeter of the pool.
Ellie is fencing a paddock. The length across the paddock is 90\text{ m}. The boundary is as shown in the diagram:
Find the value of x correct to two decimal places.
Find the length of fencing does Ellie need in total. Round your answer to two decimal places.
If the cost of the fencing is \$0.21 \text{/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. Round your answer to two decimal places.
Hence, find the length of the brick wall correct 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, correct to two decimal places.
Find the value of y, correct 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 \text{ L} of insecticide covers a 20\text{ m} length of wall.
Find the value of x, correct 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}.
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.
A landscape architect designs the pond shown for his backyard. The pond is surrounded by a brick wall made up of a straight section and a circular arc of radius 5\text{ m}. The wall will cost \$210 per metre to build.
Calculate the total cost of the wall.
Construction of a skate park will require metal railing along the perimeter which is shaped as shown. Calculate the number of metres of railing required, correct to one decimal place.
Consider the frame shown:
Note that the three triangles formed are equilateral and lie parallel to each other and perpendicular to the vertical tubes, of which there are six of equal length.
Find the length of tubing needed to create this frame.
If the tubing costs \$7.16 per metre, how much is the cost to make the frame?
Calculate the length of wire needed to create the frame of this rectangular prism:
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.
Calculate the distance of one lap of the park.
How far will the jogger run each week? Give your answer in kilometres.
A rectangular block of land is 25\text{ m} long and 12\text{ m} wide. A fence is to be constructed around the perimeter.
Calculate the length of the fence.
Fencing costs \$47 per linear metre. Calculate the fencing cost, to the nearest dollar for this block of land.
A birthday present is contained in a cube shaped box. Ribbon is wrapped around the present as shown:
If the side length of the box is 10\text{ cm}, find the shortest length of ribbon needed to neatly go around the box once, without overlap.
The bow requires 8\text{ cm} of ribbon. How much ribbon is needed altogether to wrap the box with one length of ribbon and a bow?
Find the total length of ribbon needed to wrap the present with two lengths of ribbon, as shown, and a single bow.
