Find the area of the following composite shapes:
The quadrilateral in the diagram has a diagonal measuring 14\text{ m}.
Calculate the total area of the quadrilateral.
Consider the following figure:
Find the value of x.
Find the area of the shaded region.
Find the area of the figure, correct to two decimal places.
All dimensions are in \text{mm}.
Find the area of the shaded region in the following diagrams:
Find the area of the following composite shapes, to two decimal places:
Find the area of the shaded region of the image. Any curved shape is part of a circle.
Give your answer correct to two decimal places.
Note: the diagram is not to scale.
Find the area of the shaded region in the following figures, correct to one decimal place:
Find the area of the shaded region in the following figures, correct to two decimal places:
The dining room floor shown is to be tiled with slate tiles. The cost of tiling the room is \$10 / \text{ m}^{2}.
Calculate the area to be tiled.
How much will it cost to tile the room?
Luke wants to wallpaper two walls each measuring 3.9 metres high and 9.75 metres wide. One of the walls includes a doorway 0.8 metres wide and 1.6 metres high.
Find the total area to be wallpapered.
If each roll of wallpaper will cover an area of 10\text{ m}^2, how many full rolls must Luke buy to cover the entire wall.
Lachlan draws the plot of land which contains his house and garden.
Find the total area of the plot of land.
Find the area covered by the house.
Tricia is drawing a yin-yang symbol. She chooses to make the radius of the overall circle be 16 \,\text{cm} and the radius of the small circles be 2 \,\text{cm}:
Find the area of the shaded part of the symbol.
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.
A large 17 \text{ m} long sprinkler is placed in a crop field, with one end fixed and the other end free to move. As it rotates, it waters everything underneath it.
If the sprinkler has rotated 86\degree since the farmer left, find the area of the crop field it has watered. Round your answer to one decimal place.
A security light shines a sector of light across a carpark. The light illuminates objects well up to a distance of 10 metres from the light bulb.
Find the area of the carpark that is well-lit.
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.
Give your answer as an exact value.
Find the distance travelled by the tip of the blade during one full revolution.
Give your answer as an exact value.
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 that is outlined by the rotation of the blade tips.
Give your answer as an exact value.
A simple t-shirt pattern has the dimensions given in the diagram below, with a semicircular neck hole in the front piece only.
If the front and back pieces are each cut from two rectangular pieces of fabric with dimensions 90 \text{ cm} by 80 \text{ cm}, how much fabric is wasted?
Give your answer in square centimetres.
The fabric costs \$8 per metre length, where a 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 0.9metre lengths as in part (a), how much will the fabric cost for 100 t-shirts?