An isosceles triangle has a base of length 4 centimetres and a perimeter of 20 centimetres.
Find the length of the equal sides. (2 marks)
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An isosceles triangle has a base of length 4 centimetres and a perimeter of 20 centimetres.
Find the length of the equal sides. (2 marks)
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a.
b.
a.
b.
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a.
b.
a.
b.
A farmer uses the river bordering his property and fencing to create a large grazing paddock for his horses, as shown in the diagram below.
The fencing has 4-strand wiring which is also shown below.
Given that fencing is not required on the river boundary, how many kilometres of wire will be required to fence the rest of the paddock? (2 marks)
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Jill cut a piece of binding in half.
She then placed one half on top of the other half, as shown below.
What is the perimeter of the newly formed shape in millimetres? (2 marks)
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Martha cut a piece of material in half as shown below.
She then placed the one half on top of the other half, as shown below.
What is the perimeter of the newly formed shape in millimetres? (2 marks)
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A rectangle has a length of 12 cm and a width of 7 cm.
A square has the same perimeter as this rectangle.
What is the side length of this square in centimetres? (2 marks)
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A hexagon with equal sides and an equilateral triangle are drawn below.
3 identical hexagons and 8 identical equilateral triangles are connected as shown in the diagram below.
What is the perimeter of the larger shape?
Joyce is walking her dog around a paddock in the shape of a parallelogram.
If she walks the dog around the paddock in the morning and the afternoon, how many kilometres do they walk each day? (2 marks)
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Tatiana is cutting a piece of material in the shape of a parallelogram for a sewing project.
The longer sides are one and two-thirds times the length of the shorter sides.
What is the perimeter of the piece of material? (2 marks)
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Fumiko is laying pavers that are shaped like a parallelogram.
The longer sides are 3.5 times the length of the shorter sides.
What is the perimeter of one of the pavers? (2 marks)
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What is the perimeter of the shape below given each square has a side length of 2 cm? (2 marks)
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A rectangular parking lot has a perimeter of 80 metres.
Each short side has a length of 10 metres.
What is the length of the long side? (2 marks)
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A farmer uses an existing stone wall and fencing to create a large grazing paddock for his sheep, as shown in the diagram below.
The fencing has 3-strand wiring which is also shown below.
How many kilometres of wire will be required? (2 marks)
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Ronald places 5 identical hexagonal tiles side-by-side to make the pattern pictured below.
Each tile has a perimeter of 24 cm and is in the shape of a regular hexagon.
What is the perimeter of the large shape, in centimetres? (2 marks)
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Aragorn is fencing a paddock on his property. The total length of fencing he requires is 8.2 kilometres.
The length of the paddock is 2.8 kilometres.
Write your answer, in kilometres to one decimal place? (2 marks)
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A rectangle has a length of 25 cm and a width of 20 cm.
A square has the same perimeter as this rectangle.
What is the side length of this square in centimetres? (2 marks)
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The table shows the dimensions of four different rectangles in centimetres.
Rectangle | Length (cm) | Width (cm) |
1 | 9 | 5 |
2 | 10 | 8 |
3 | 14 | 2 |
4 | 18 | 10 |
Which rectangle has a perimeter of 28 centimetres?