A rhombus has an area of 250 square centimetres. If one diagonal measures 10 centimetres, find the length of the other diagonal. (2 marks)
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Area, SM-Bank 148
A rhombus has an area of 140.8 square metres. If one diagonal measures 16 metres, find the length of the other diagonal. (2 marks)
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Area, SM-Bank 147
Calculate the area of the following rhombus in millimetres squared. (2 marks)
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Area, SM-Bank 146
Calculate the area of the following rhombus. All measurements are in metres. (2 marks)
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Area, SM-Bank 145
Calculate the area of the following rhombus. All measurements are in metres. (2 marks)
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Area, SM-Bank 144
Calculate the area of the following rhombus. All measurements are in centimetres. (2 marks)
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Area, SM-Bank 143
Calculate the area of the following rhombus. All measurements are in millimetres. (2 marks)
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Area, SM-Bank 142
Calculate the area of the following kite. All measurements are in millimetres. (2 marks)
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Area, SM-Bank 141
Calculate the area of the following kite. All measurements are in metres. (2 marks)
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Area, SM-Bank 140
Calculate the area of the following kite. All measurements are in centimetres. (2 marks)
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Area, SM-Bank 138
A path 1.8 m wide is being built around a rectangular garden. The garden is 8.4 m long and 5.4 m wide. The path is shaded in the diagram.
Calculate the area of the path in square metres. (2 marks)
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Area, SM-Bank 134
A kite has an area of
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Area, SM-Bank 133
A kite has an area of 52 square metres. Given that one of the diagonals has a length of 8 metres, calculate the length of the other diagonal. (2 marks)
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Area, SM-Bank 132
Johan builds a kite with diagonals of 0.7 metres and 1.2 metres as shown below.
Calculate the area of Johan's kite (not including the tail) in square metres. (2 marks)
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Area, SM-Bank 131
Calculate the area of the following kite in square centimetres. (2 marks)
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Area, SM-Bank 130
Calculate the area of the following kite in square metres. (2 marks)
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Area, SM-Bank 129
Calculate the area of the following kite in square centimetres. (2 marks)
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Area, SM-Bank 122
Tim sketched a plot of land with the following measurements in metres.
What is the area of the land in square metres? (2 marks)
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Show Worked Solution
Area, SM-Bank 104
Calculate the area of the following composite figure in square centimetres (2 marks)
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Area, SM-Bank 103
Calculate the area of the following composite figure in metres squared. (2 marks)
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Area, SM-Bank 102
Calculate the area of the following composite figure in square centimetres. (2 marks)
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Area, SM-Bank 096
Luke builds a rectangular wooden deck in his backyard, with dimension 12 metres by 5 metres.
Luke is going to create a 0.5 metre wide path around the full perimeter of his deck.
- What is the total area of the path in square metres? (2 marks)
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- He is creating the path using pavers at a cost of $92 per square metre. Calculate the cost of the pavers. (1 mark)
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Area, SM-Bank 095
A cement slab is laid in Yvette's backyard that forms an 8 metre by 4 metre rectangle.
Yvette is going to lay a 0.25 metre wide path around the full perimeter of her slab.
- What is the total area of the perimeter path in square metres? (2 marks)
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- She is covering the path with artificial grass at a cost of $45 per square metre. Calculate the cost of laying turf on the path. (1 mark)
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Area, SM-Bank 093 MC
Ken puts two cardboard squares together, as shown in the diagram below.
The squares have areas of 4 cm² and 25 cm².
Ken draws a line from the bottom left to top right, and shades the region above the line.
What is the area of the shaded region?
Show Worked Solution
Area, SM-Bank 092
Area, SM-Bank 080
Bobby used 3 litres of varnish to paint the loungeroom floor.
The floor was a square with sides 6 metres long.
How many litres of varnish would he need to paint a rectangular floor which is 6 metres long and 10 metres wide? (2 marks)
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Area, SM-Bank 079
Shinji used 8 litres of paint to paint a wall.
The wall was a square with sides 4 metres long.
How many litres of paint would he need to paint a rectangular wall which is 3 metres high and 10 metres wide? (2 marks)
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Area, SM-Bank 078
Shinji used 8 litres of paint to paint a wall.
The wall was a square with sides 4 metres long.
How many litres of paint would he need to paint a rectangular wall which is 3 metres high and 10 metres wide? (2 marks)
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Area, SM-Bank 071
A holiday unit is shaped like a hexagon.
The dimensions of its floor plan are shown below.
What is the total area of the holiday unit in square metres? (2 marks)
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Area, SM-Bank 070
A swimming pool is shaped like a hexagon.
The dimensions are given from the top view of the swimming pool.
What is the total area of the swimming pool in square metres? (2 marks)
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Area, SM-Bank 069
Binky used the paver pictured below to pave her pool area.
Altogether, she used 50 tiles.
What is the total area of Binky's pool area in square metres? (2 marks)
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Area, SM-Bank 068
A plan of Bob's outdoor area is shown below.
- Calculate the area of Bob's outdoor area in square metres. (2 marks)
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- What is the cost of tiling Bob's outdoor area, if tiles cost $42.50 per square metre? (2 marks)
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Show Worked Solution
a.
| b. | ||
Area, SM-Bank 067 MC
Bernie drew this plan of his timber deck.
Which expression gives the area of Bernie's timber deck?
Show Worked Solution
Area, SM-Bank 066 MC
Vera drew this plan of her entertaining area.
Which expression gives the area of Vera's entertaining area?
Show Worked Solution
Area, SM-Bank 065 MC
Olive drew this plan of her lawn.
Which expression gives the area of Olive's lawn?
Show Worked Solution
Area, SM-Bank 063
A large mosaic tile artwork has been created inside a rectangle in the shape of a parallelogram as shown below.
- Calculate the shaded area outside the parallelogram in square metres. (2 marks)
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- Calculate the cost of tiling the shaded area if the tiles cost $85 per square metre. (2 marks)
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Area, SM-Bank 062
Rorke is designing a new logo that is made up of two identical parallelograms as shown below.
Calculate the area of the logo in square millimetres. (2 marks)
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Area, SM-Bank 061
A parallelogram has an area of 1872 square metres and a perpendicular height of 78 metres.
Calculate the base length of the parallelogram. (2 marks)
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Area, SM-Bank 060
The parallelogram below has an area of 75.03 square centimetres and a base length of 12.3 centimetres.
Calculate the perpendicular height of the parallelogram. (2 marks)
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Area, SM-Bank 059
Calculate the area of the parallelogram below, in metres squared. (2 marks)
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Area, SM-Bank 058
Calculate the area of the parallelogram below, in millimetres squared. (2 marks)
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Area, SM-Bank 057
Calculate the area of the parallelogram below, in centimetres squared. (2 marks)
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Area, SM-Bank 056
A sporting field in the shape of a square has a side length of 110 metres.
- Calculate the area of the sporting field in square metres. (2 marks)
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- During the off-season, the sporting field is to be covered in fertiliser. If fertiliser costs $6.50 per 100 square metres, calculate the cost of fertilising the field. (2 marks)
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Area, SM-Bank 055
The square below has a diagonal of 12 metres.
- Use Pythagoras' Theorem to calculate the side length of the square. Give your answer in exact surd form. (2 marks)
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- Calculate the are of the square correct to one decimal place. (2 marks)
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Area, SM-Bank 054
Calculate the area of a square with a perimeter of 192 centimetres. (2 marks)
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Area, SM-Bank 053
The following shape has a perimeter of 12.4 centimetres. Calculate its' area. (2 marks)
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Area, SM-Bank 052
The following shape has a perimeter of 36 metres. Calculate its' area. (2 marks)
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Area, SM-Bank 051
Calculate the area of the following squares.
-
(2 marks)
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-
(2 marks)
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Area, SM-Bank 050
Calculate the area of the following squares.
-
(2 marks)
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-
(2 marks)
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Area SM-Bank 049
A rectangle has an area of 24 square centimetres.
- One possible pair of integer dimensions for this rectangle is
.
Write down all possible pairs of integer dimensions for a rectangle with an area of 24 square centimetres. (2 marks)
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- Using the given dimensions and your answers from (a), calculate the largest possible perimeter for a rectangle with an area of 24 square centimetres. (2 marks)
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Area, SM-Bank 048
Jocasta is sewing a quilt in the shape of a rectangle, as shown below. She knows the length of one side, and the length of diagonal of the quilt.
- Calculate the length of the other side of the quilt, giving your answer in exact surd form. (2 marks)
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- Using your answer from (a) calculate the area of the quilt in square metres, correct to 1 decimal place? (2 marks)
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Area, SM-Bank 047
Jordy is tiling the rectangular living area pictured below.
- Calculate the area of the living area in square metres. (2 marks)
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- What is the cost of tiling the living area if tiles cost $45 per square metre? (2 marks)
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Area, SM-Bank 046
A rectangular paddock has dimensions 1.2 kilometres by 1.4 kilometres. Calculate the area of the paddock in square kilometres. (2 marks)
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Area, SM-Bank 045
Calculate the area of the following rectangles, correct to 1 decimal place.
-
(2 marks)
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-
(2 marks)
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Area, SM-Bank 044
Calculate the area of the following shapes in square centimetres.
-
(2 marks)
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-
(2 marks)
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Area, SM-Bank 043
Calculate the area of the following shapes in square units.
-
(1 mark)
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-
(1 mark)
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Show Worked Solution
a.
| b. | ||
Area, SM-Bank 040
Cabins are being built at a camp site.
The dimensions of the front of each cabin are shown in the diagram below.
The walls of each cabin are 2.4 m high.
The sloping edges of the roof of each cabin are 2.4 m long.
The front of each cabin is 4 m wide.
The pependicular height the triangular shaped roof is
- Use Pythagoras to show that the value of
is 1.33 m, correct to two decimal places. (2 marks)
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- Calculate the total area of the front of the cabin. (2 marks)
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Area, SM-Bank 039
The game of squash is played indoors on a court with a front wall, a back wall and two side walls, as shown in the image below.
Each side wall has the following dimensions.
The shaded region in the diagram above is considered part of the playing area.
Calculate the area, in square metres, of the shaded region in the diagram above. Round your answer to two decimal places. (2 marks)
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Area, SM-Bank 038
The following diagram shows a cargo ship viewed from above.
The shaded region illustrates the part of the deck on which shipping containers are stored.
What is the area, in square metres, of the shaded region? (2 marks)
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