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We use formulae, or rules, to calculate perimeter and area.

Perimeter and Area 2 (Medium)

Explore perimeter and area in this 11 Plus Maths quiz and discover how numbers describe the size of fields, rooms, and even football pitches.

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(quiz starts below)

Fascinating Fact:

A football pitch has an area of about seven thousand square metres, big enough for nearly a thousand small cars if the players ever stop running.

In 11 Plus Maths, learning about perimeter and area helps pupils understand how to measure large spaces and boundaries accurately. These calculations are used in sports, architecture, and everyday life.

Key Terms

Metre (m): The standard unit for measuring length or distance in the metric system.
Square Metre (m²): The unit for measuring area, representing a square that is one metre on each side.
Boundary: The outer edge or perimeter that defines the shape of an area.

Parents can read our guide to 11 Plus sample questions for helpful examples and advice on preparing for maths topics like this one.

Frequently Asked Questions (Click to see answers)

What is the area of a football pitch?

Most football pitches have an area of around seven thousand square metres, depending on the size allowed for matches.

How can I calculate the area of a rectangular field?

Multiply the length by the width. For example, a field 100 metres long and 70 metres wide has an area of 7,000 m².

Why do we use square units for area?

Square units measure how much surface a shape covers, helping compare spaces like floors, gardens, or sports fields accurately.

Try These Related Quizzes

1 .

The surface area of a cube is 384 cm². How tall is the cube?

8 cm

16 cm

32 cm

64 cm

A cube has six faces: each face is a square. So, to find the area of each face, divide 384 by 6:
384 ÷ 6 = 64. Next, we want to find the length of each square. The formula for the area of a square is: Area = length².
If you know your times tables then you should know that 8 x 8 = 64

2 .

A heptagon is a seven-sided shape. What is the perimeter of a regular heptagon if one of its sides is of length 19.3 cm?

372.49 cm

135.1 cm

115.8 cm

193 cm

A regular heptagon has ALL its sides the same length ? perimeter = 7 × 19.3 = 135.1 cm

3 .

The perimeter of a square is 28 cm. What is its area?

784 cm²

196 cm²

49 cm²

7 cm²

The perimeter of a square is 4 x its length. 28 ÷ 4 = 7
The area of a square is length x length. 7 x 7 = 49

4 .

The area of a wall is 12 m². A can of paint can cover an area of 5 m². How many cans of paint will be required to cover the wall?

12 ÷ 5 = 2.4. However, you cannot but 0.4 cans of paint – you would have to buy 3. Watch out for questions like this in exams – don’t let them trick you

5 .

A right-angled triangle has a side length of 12 cm. How many of these triangles will fit onto a square whose sides are 28 cm long, without overlapping or going over the edge of the square?

The area of square = 28 × 28 = 784 cm².
Area of the triangles = ¹?₂ × base × height = ¹?₂ × 12 × 12 = 72 cm².
The number of triangles = 784 ÷ 72 = 10.888. However, the question says, ‘without overlapping or going over the edge of the square’. This means that remainders are not counted. The answer is 10

6 .

If the diameter of a circle is 14 cm, what is its circumference (assume that π = 3.142)?

138.21 cm

43.988 cm

87.976 cm

21.994 cm

The circumference of a circle = 2?r. As you know, diameter = 2r so part of this problem was already done for you

7 .

The area of a right-angled triangle is 225 cm². If its base is 15 cm, what is its height?

10 cm

20 cm

30 cm

40 cm

Area = (base × height) ÷ 2:
225 = (15 x height) ÷ 2:
2 x 225 ÷ 15 = height:
450 ÷ 15 = height = 30 cm

8 .

If you double the length of the sides of a square, what will happen to its area?

It will stay the same

It will double (multiply by 2)

It will treble (multiply by 3)

It will quadruple (multiply by 4)

Suppose we have a square of side length 4 cm. Its area = 4 x 4 = 16 cm²
Now we double the length of its sides. Its area is now 8 x 8 = 64 cm²
64 ÷ 16 = 4. The area has quadrupled in size

9 .

If the circumference of a circle is 44 cm, what is its radius (assume that π = 3.142 and round your answer to the nearest whole number)?

7 cm

8 cm

9 cm

10 cm

Circumference = 2?r, so 44 = 2 × 3.142 × r
We can rearrange the problem to, r = 44 ÷ (3.142 x 2):
So, r = 44 ÷ 6.284 = 7

10 .

If the diameter of a circle doubles, what will happen to the area?

It will quintuple (multiply by 5)

It will quadruple (multiply by 4)

It will treble (multiply by 3)

It will double (multiply by 2)

As you know, diameter is twice radius. In circles, area = ?r². If r = 1 cm, A = 3.142 × 1 × 1 = 3.142 cm. Now, if r = 2, A = 3.142 × 2 × 2 = 12.568.
It’s not obvious at first but 12.568 is four times 3.142. Work it out and see for yourself.

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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