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Perimeter and Area (Year 5)
What would be a suitable unit to measure the area of a chunk of chocolate?

Perimeter and Area (Year 5)

Year 5 perimeter and area explore measuring the outside edges and inside space of shapes. Pupils practise applying these skills to solve everyday and mathematical problems.

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Fascinating Fact:

The surface area of the Moon is about 38 million km², which is smaller than the total area of Asia.

In KS2 Maths, Year 5 pupils develop their understanding of perimeter and area by working with rectangles, compound shapes, and word problems. These skills link maths directly to real-life applications.

  • Compound shape: A shape made up of two or more simple shapes, such as rectangles or triangles.
  • Perimeter: The total distance around the outside of a shape, measured by adding all its sides.
  • Area: The size of the surface inside a flat, two-dimensional shape, measured in square units.
What is the difference between area and perimeter?

Area measures the space inside a shape, while perimeter measures the distance around its outside edges. Both use different units, like cm² for area and cm for perimeter.

How do you find the perimeter of a compound shape?

To find the perimeter of a compound shape, measure each outside edge and add them together. Ensure you only count the outer sides, not internal lines.

How do you calculate the area of a rectangle?

The area of a rectangle is found by multiplying its length by its width. The answer is expressed in square units, such as cm² or m².

1 .
A rectangle has a perimeter of 38cm. The shortest sides are 7cm. What length are the two longest sides?
12cm
14cm
21cm
28cm
2 x 7 = 14
38 - 14 = 24
24 ÷ 2 = 12
2 .
A regular hexagon has a perimeter of 54cm. What is the length of the sides?
6cm
9cm
12cm
20cm
A regular hexagon has 6 equal sides. To calculate the length of each side, divide the perimeter by 6
3 .
What is the formula for calculating the perimeter of a rectangle?
2 x length x 2 x width
2 x length + 2 x width
Length + width
Length x width
2 sides of a rectangle are one length whilst the other two sides are a different length, for example 2 sides are 4cm long and the other 2 sides are 6cm long. This rectangle would have a perimeter of 20cm
4 .
What is the perimeter of a regular pentagon with sides of 5cm?
24cm
100cm
10cm
25cm
A pentagon has 5 sides, therefore 5 x 5cm will give you the perimeter
5 .
What is the formula for calculating the perimeter of a regular hexagon?
4 x length of side
6 x length of side
6 x length + width
Length of side divided by 6
As a regular hexagon has 6 equal sides, just multiply the length of the sides by 6
6 .

Which would be best measured in cm2?

Area of a playground
Area of a town
Area of a desk top
Area of a pen tip
Towns might be measured in km2, playgrounds in m2 and pen tips in mm2
7 .
What is the formula for calculating the area of a rectangle?
2 x length x 2 x width
2 x length + 2 x width
Length + width
Length x width
If a rectangle measured 7cm by 10cm its area would be 70cm2
8 .
Which would be a good estimate of the area of a classroom?
1,000mm2
100mm2
10m2
100m2
10m2 would be large enough for a room in a house but not big enough for a classroom
9 .
Which would be a suitable unit to measure the area of a chunk of chocolate?
Square grams
Square metres
Square millimetres
Square millilitres
Grams measure weight and millilitres measure volume. Square metres measure area but chocolate bars aren't that big!
10 .
How many cm2 is equivalent to 1m2?
10cm2
100cm2
1,000cm2
10,000cm2
There are 100cm in 1m so 100 x 100 = 10,000
You can find more about this topic by visiting BBC Bitesize - What is the perimeter?

Author:  Amanda Swift (Primary School Teacher & Educational Content Developer)

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