Aussie Maths & Science Teachers: Save your time with SmarterEd
Rogan has a square and a rectangle.
He cuts the rectangle along the dotted line as shown below.
Rogan then joins these 3 pieces to make a parallelogram.
Which of these calculations could Rogan use to find the area of the parallelogram?
| `3\ text(cm) xx 6\ text(cm)` | `9\ text(cm) xx 6\ text(cm)` | `12\ text(cm) xx 6\ text(cm)` | `21\ text(cm) xx 3\ text(cm)` |
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Cassy drew this shape on some grid paper.
Select the two shapes with the same area as Cassy's shape.
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The plan of a square area of land is drawn below.
A mining licence is granted over part of the land.
All measurements are given in kilometres.
The area of land the mining licence covers is
| `x^2-20` | `x^2 + 20` | `2x^2-9` | `2x^2-20` |
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Here is a plan of Dave's backyard.
The total area of the paving stones is 18 m².
What is the total area of the grass in Dave's backyard?
| `text(36 m²)` | `text(48 m²)` | `text(54 m²)` | `text(72 m²)` |
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The area of the rectangle in the diagram below is 15 cm2.
What is the area of the trapezium `ABCD`?
| cm2 |
`text{Opposite sides of rectangles are equal}`
`text(Triangles at bottom are congruent with the)`
`text{triangles the at top (RHS).}`
`text(Rearranging the diagram:)`
`:.\ text(Area of trapezium)`
`= 2 xx 15`
`= 30\ text(cm)^2`
Olive drew this plan of her lawn.
Which expression gives the area of Olive's lawn?
| `(a xx b) + (c xx d)` | `(a xx b) xx (c xx d)` | `(a + b) + (c + d)` | `(a + b) xx (c + d)` |
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| `text(Total Area)` | `= text(Area 1) + text(Area 2)` |
| `= (a xx b) + (c xx d)` |
Harry has an irregularly shaped back yard.
What is the area of Harry's back yard?
| `text(93 m)²` | `text(384 m)²` | `text(544 m)²` | `text(768 m)²` |
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Tom decided to cover a rectangular floor with tiles.
The tiles are twice as wide as they are long.
The floor is `5 1/2` tiles wide and `11 1/2` tiles long.
Using this pattern, what is the total number of tiles Tom will use to cover the floor?
An irregular shaped lawn is pictured below, with all measurements in metres.
What is the area of the lawn in square metres?
| square metres |
`text(Split the lawn into 3 areas)`
`text(Area 1) = 9 xx 3 = 27\ text(m²)`
`text(Area 2) = 5 xx 2 = 10\ text(m²)`
`text(Area 3:)`
`text(Height) = 9-2 = 7\ text(m)`
`text(Width)= 12-(5 + 3)= 4\ text(m)`
`=> text(Area 3) = 7 xx 4 = 28\ text(m²)`
| `:.\ text(Area of lawn)` | `= 27 + 10 + 28` |
| `= 65\ text(m²)` |
Pablo cuts a square out of a rectangular piece of paper, as shown below.
The square Pablo cut out has a side length of 6 cm.
Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?
| `(28 xx 20)-(6 xx 6)` | `(22 xx 14) + (6 xx 6)` |
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| `(28 + 20)-(6 + 6)` | `(28 + 20) + (6 xx 6)` |
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The octagon below is divided into identical squares and identical triangles.
The area of the octagon is a multiple of the area of one of the squares.
The area of the octagon is 252 cm².
What is the side length of each square?
| cm |
In this pattern of squares, each smaller square is half the area of the next biggest square.
What is the area of the grey part of the pattern?
| square centimetres |
What is the area of the shaded part of the figure?
| square centimetres |