Estimate the total area of the artwork above the sofa, in square centimetres, if the sofa is 1.9 \text{ m} in length.
The following garden bed has three rows of four plants. Each plant is spaced about 24 \text{ cm} apart, and sit 12 \text{ cm} away from the edge of the garden bed:
Estimate the area of the garden bed in square centimetres.
Each square on the grid has an area of 9 \text{ mm}^{2} . Estimate for the area of the curved shape shown:
Each square on the grid has an area of 4 \text{ mm}^{2}. Estimate the area of the curved shape shown:
Estimate the area of the shape shown if each axis is measured in metres:
Estimate the area of the butterfly if each axis is measured in millimetres:
These road signs are pictured with relative sizings. If the GIVE WAY sign is an equilateral triangle with a side length of 75 \text{ cm}, estimate the area of the BICYCLES EXCEPTED sign.
Estimate the areas of the following shapes:
Name an object that has an area of approximately 1 \text{ m}^{2}.
Name an object that has an area of approximately 500\text{ cm}^{2}.
Find the area of the following rectangles:
Find the area of a rectangle whose length is 12\text{ cm} and width is 5\text{ cm}.
Find the area of the following squares:
Find in \text{m}^{2} the area of a square of side 290 \text{ cm}.
Find the area of the following triangles:
If the area of a rectangle is 99\text{ cm}^2 and its width is 9\text{ cm}, find its length.
Find the length of each side of the square whose area is 64\text{ cm}^2.
Find the value of h in the triangle if its area is 120\text{ cm}^2.
Find the base of the triangle whose area is 17.5\text{ cm}^2 and height is 5\text{ cm}.
Find the area of the following parallelograms:
Find the area of a parallelogram whose base is 10\text{ cm} and height is 5\text{ cm}.
Find the base length of a parallelogram whose area is 96\text{ cm}^2 and perpendicular height is 8\text{ cm}.
Find the area of the following trapeziums:
Find the value of x if the area of the trapezium shown is 65\text{ cm}^2.
Find the area of the following rhombuses:
Find the area of the following kites:
The area of a kite is 308\text{ cm}^2 and one of the diagonals is 47\text{ cm}. If the length of the other diagonal is y\text{ cm}, what is the exact value of y?
Find the area of the following circles to one decimal place:
Find the area of the following circles. Round your answers to one decimal place.
A circle of radius 3.5 \text{ cm}.
A circle of diameter 22 \text{ m}.
Calculate the area of the following figure, correct to one decimal place.
Find the areas of the following figures to two decimal places:
Consider the following sector:
Calculate the perimeter. Round your answer to one decimal place.
Calculate the area. Round your answer to four decimal places.
Consider the following sector:
Calculate the perimeter to two decimal places.
Calculate the area to two decimal places.
The area of a circle is 352\text{ cm}^2.
If its radius is r\text{ cm}, find r, correct to two decimal places.
Using the rounded value from the previous part, find the circumference of the circle. Round your answer to one decimal place.
Calculate the area of the following sectors. Round your answer to one decimal place.
Calculate the area of the following sectors. Round your answer to two decimal places.
The area of the circle is 10 \text{ cm}^{2}. Find the area of the shaded sector.
Round your answer to two decimal places.
Find the area of the sector of a circle of radius 16 \text{ cm} if the sector subtends an angle with a measure of 78 \degree at the centre. Round your answer to two decimal places.
Sharon has purchased a rectangular piece of fabric measuring 12\text{ m} in length and 7\text{ m} in width. What is the area of the largest triangular piece she can cut out from it?
A rectangular sign casts a shadow on the ground like the one pictured.
What is the area of the shadow?
A kitchen floor is tiled with the tiles shown in the picture. If 50 tiles are needed to tile the floor, find the total area of the floor.
Rectangular farms around Australia were measured and their dimensions are recorded in the table.
Use a calculator to find the area of each farm (in \text{m}^{2}).
| \text{Farm} | \text{Length }(\text{m}) | \text{Width }(\text{m}) | \text{Area }(\text{m}^{2}) |
|---|---|---|---|
| 1 | 200 | 100 | |
| 2 | 350 | 21 | |
| 3 | 100 | 24 | |
| 4 | 400 | 40 | |
| 5 | 100 | 100 |
Which farms have an area of more than 1 \text{ ha}?
Make sure you choose all correct answers.
Which farms have an area of less than 1 \text{ ha}?
Which farm is exactly 1 \text{ ha}?
A gutter running along the roof of a house has a cross-section in the shape of a triangle as shown:
If the area of the cross-section is 40\text{ cm}^2, and the length of the base of the gutter is 10\text{ cm}, find the perpendicular height h of the gutter.
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.
A quilt is made by sewing together 4 identical parallelograms as shown in the following figure:
If the total area of the quilt is 1944\text{ cm}^2, calculate the perpendicular height of each parallelogram piece.
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.