Find the area of the following shapes:
A square whose side is 5\text{ cm}.
A rectangle whose length is 12\text{ cm} and width is 5\text{ cm}.
Find the area of the given triangle with base length 10\text { m} and perpendicular height 8\text { m} :
A circle has a radius of 12\text{ mm}.
Find the exact area of the circle.
Find the area of the circle, correct to two decimal places.
A circle has a diameter of 22\text{ mm}.
State the radius of the circle.
Find the exact area of the circle.
Find the area of the circle, correct to two decimal places
Find the area of the following composite shapes:
Consider the figure shown:
Find the length of the diameter of the semicircle, correct to two decimal places.
Find the area of the entire figure, correct to one decimal place.
Find the area of the shaded region in the following figures:
Consider the following figure:
Find the value of x.
Find the area of the shaded region.
Find the shaded area in the following figures, correct to one decimal place:
Find the shaded area in the following figures, correct to two decimal places:
In the figure shown, a chord is drawn so that it cuts through a circle.
Find the shaded area, correct to two decimal places.
A piece of origami paper, orginally in the shape of a parallelogram, is folded along its shortest diagonal as shown:
Find the total area covered by the folded paper.
Lachlan designs a plot of land which contains his house and garden as shown in the diagram:
Find the total area of the plot of land.
Find the area of the garden.
The figure shows a plan of a dining room floor, which is to be tiled with slate tiles.
Calculate the area to be tiled. Round your answer to the nearest square metre.
If the cost of tiling is \$10 \text{/m}^2, calculate the cost to tile the dining room floor.
A circular metal plate of diameter 2 \text{ m}, has 65 holes of diameter 5\text{ cm} drilled into it.
Find the remaining area of the metal plate in square metres. Round your answer to two decimal places.
A farmer is going to fertilise his paddock, which has the following shape:
Find the area of the paddock.
If it takes 150 \text{ kg} of fertiliser to fertilise 100 square metres, how many kilograms of fertiliser should the farmer purchase?
The back cover of a mobile phone is shown in the following diagram. The rounded corners are quadrants:
Find the area of the back cover, excluding the circular camera lens. Round your answer to two decimal places.
The following diagram shows a landscaping plan with the garden at the top bordered by a circular arc and the property boundary:
Find the area of the lawn, correct to one decimal place.
Find the area of the garden, correct to two decimal places.
If roll-on lawn costs \$12 per square metre, how much will it cost to cover the lawn and the garden?
Find the paved area, correct to two decimal places.
Paving costs \$100 per square metre. Calculate the cost to pave the paved area.
A simple t-shirt pattern has the dimensions as shown in the diagram below, with a semicircular neck hole in the front piece only:
Find the area of the back of the t-shirt.
Find the area of the front of the t-shirt, correct to one decimal place.
If the front and back pieces are both cut from two rectangular pieces of fabric with dimensions 90\text{ cm} by 80\text{ cm}, calculate the amount of fabric that is wasted. Round your answer to the nearest square centimetre.
The fabric costs \$8 per metre length, where one-metre length is a piece of fabric with width 80\text{ cm} and length 100\text{ cm}. If the t-shirt pieces are cut out of two 0.9-metre lengths, how much will the fabric cost for 100 t-shirts?
The diagram below shows a parallelogram-shaped area of lawn. There are sprinklers placed at points A and B, which are configured to water the indicated sectors of the lawn. The sprinklers are situated at the centre of their corresponding sectors.
Find the area of lawn that is covered by sprinkler A, correct to one decimal place.
Find the area of lawn that is covered by sprinkler B, correct to one decimal place.
If each sprinkler uses 2 \text{ L} of water per square metre in one hour, calculate the total amount of water the sprinklers use in an hour, correct to one decimal place.
Luke made a square mosaic that has side lengths of 3 \text{ m}. Luke decided to add a border to his mosaic, and now it has side lengths of 3.2 \text{ m}.
Calculate the increase in the area of the mosaic.
A kitchen floor is tiled with the tiles shown in the picture below:
If 50 tiles are needed to tile the floor, find the total area of the floor.
A rectangular garden bed measures 430\text{ cm} by 250\text{ cm}. A bag of fertiliser covers an area of 2 \text{ m}^2.
Calculate the number of whole bags of fertiliser needed to cover the total area of the garden bed.
Calculate the area in \text{m}^2 that the left-over fertiliser will be able to cover.
John is tiling a room floor that has a total area of 9\text{ m}^2. The tiles he is using are squares, measuring 25\text{ cm} by 25\text{ cm}.
Calculate the area of a single tile in \text{m}^2.
Calculate the number of tiles John will require to cover the entire floor area.
A farmer wants to cover a rectangular section of roofing that measures 6\dfrac{1}{2}\text{ m} by 9\dfrac{1}{2}\text{ m} with solar panels. Having received quotes from various solar panel suppliers, she estimates that the panels will cost \$300 per square metre to install.
Calculate the estimated cost of covering the section of roofing with solar panels.
The following tile pattern is made up of two different parallelograms in a tessellated pattern:
Find the area covered by the smaller tiles.
Find the area covered by the larger tiles.
Find the total area covered by the tiles.
A wind turbine has blades that are R\text{ m} long which are attached to a tower 60\text{ m} high. When a blade is at its lowest point (pointing straight down), the distance between the tip of the blade and the ground is 20\text{ m}.
Calculate the value of R.
Find the distance travelled by the tip of the blade during one full revolution, correct to two decimal places.
A factor in the design of wind turbines is the amount of area covered by their blades. The larger the area covered, the more air can pass through the blades.
Find the area inside the circle defined by the rotation of the blade tips, correct to two decimal places.
