Need help with Level 5-6 Shapes - Perimeter and Area? Ask our AI Tutor!

AI Tutor - Lucy

Connecting with Tutor...

Please wait while we establish connection

Hi! I'm Lucy, your AI tutor. How can I help you with Level 5-6 Shapes - Perimeter and Area today?

now

Maths Quiz - Level 5-6 Shapes - Perimeter and Area (Questions)

Perimeter and area measure lengths and surfaces. Master rectangles, triangles and circles to solve real KS3 problems quickly and confidently.

Explore the Topic →

(quiz starts below)

Fascinating Fact:

A circle with radius 7 m has circumference 2 × 3.14 × 7 = 43.96 m and area 3.14 × 7² = 153.86 m².

In KS3 Maths, you calculate perimeters and areas for common shapes and solve mixed problems with units. You’ll apply formulas, convert measures, and check answers make sense in real contexts.

Key Terms

Perimeter: The total distance around a 2D shape.
Area: The amount of surface a 2D shape covers, measured in square units.
Compound shape: A shape made from two or more simple shapes joined together.

Frequently Asked Questions (Click to see answers)

How do you find the perimeter of a rectangle in KS3?

Add all sides or use the formula P = 2(l + w), where l is length and w is width. Keep the answer in linear units, e.g., cm.

What is the area formula for triangles?

The area of a triangle is A = ½ × base × height. The height must be perpendicular to the base. Give the answer in square units, e.g., cm².

How do I work out the area of a circle?

Use A = πr², where r is the radius. If you know the diameter, halve it first to get the radius before substituting.

Try These Related Quizzes

1.

In many formulas you will see the letter h which stands for 'height'. What would be a more correct term for 'height'?

[ ]	Perpendicular height
[ ]	Perpetrator height
[ ]	Perpetual height
[ ]	Perplexing height

2.

Is a square also a rectangle?

[ ]	Yes
[ ]	No
[ ]	It depends on the length of its sides
[ ]	It depends on its surface area

3.

If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its area?

[ ]	49 cm²
[ ]	121 cm²
[ ]	77 cm²
[ ]	It is impossible to say

4.

If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its perimeter?

[ ]	44 cm
[ ]	28 cm
[ ]	36 cm
[ ]	It is impossible to say

5.

What is the area of a triangle that has a base of 37 cm and a perpendicular height of 28 cm?

[ ]	518 cm²
[ ]	1,063 cm²
[ ]	1,360 cm²
[ ]	1,630 cm²

6.

If the area of a triangle is 420 cm² and its perpendicular height is 30 cm, what is the length of its base?

[ ]	24 cm
[ ]	26 cm
[ ]	28 cm
[ ]	32 cm

7.

The two parallel sides of a trapezium have lengths 10 cm and 20 cm, and the distance between them is 15 cm. What is the area of this trapezium?

[ ]	150 cm²
[ ]	200 cm²
[ ]	225 cm²
[ ]	250 cm²

8.

A garden is in the shape of a trapezium and it has an area of 1,500 metres². One of the parallel sides is 40 metres long and the other parallel side is 60 metres long. What is the distance between the parallel sides?

[ ]	20 metres
[ ]	30 metres
[ ]	40 metres
[ ]	50 metres

9.

Archie says that the area of a rhombus of side length 12 cm is the same as that of a square of side 12 cm. Is he right?

[ ]	Always
[ ]	Never
[ ]	Sometimes - it depends on the size of the internal angles
[ ]	Only if the perimeter is equal to 48cm

10.

If a rhombus has a base of 1.2 metres and a perpendicular height of 0.8 metres, what is its area?

[ ]	0.64 m²
[ ]	0.80 m²
[ ]	0.96 m²
[ ]	1.44 m²

You can find more about this topic by visiting BBC Bitesize - Perimeter, Area, Volume

Maths Quiz - Level 5-6 Shapes - Perimeter and Area (Answers)

1.

In many formulas you will see the letter h which stands for 'height'. What would be a more correct term for 'height'?

[x]	Perpendicular height
[ ]	Perpetrator height
[ ]	Perpetual height
[ ]	Perplexing height

The perpendicular height of an object should not be confused with the length of its shortest side

2.

Is a square also a rectangle?

[x]	Yes
[ ]	No
[ ]	It depends on the length of its sides
[ ]	It depends on its surface area

A square is a special rectangle - its length and width are the same

3.

If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its area?

[ ]	49 cm²
[ ]	121 cm²
[x]	77 cm²
[ ]	It is impossible to say

The formula for calculating the area of a parallelogram is A = bh (Area = base x height)

4.

If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its perimeter?

[ ]	44 cm
[ ]	28 cm
[ ]	36 cm
[x]	It is impossible to say

Did you get it wrong by confusing the perpendicular height with the length of its shortest side? The perpendicular height is NOT the same as the length of the shortest side!

5.

What is the area of a triangle that has a base of 37 cm and a perpendicular height of 28 cm?

[x]	518 cm²
[ ]	1,063 cm²
[ ]	1,360 cm²
[ ]	1,630 cm²

Area of a triangle = ¹?₂(b x h)

6.

If the area of a triangle is 420 cm² and its perpendicular height is 30 cm, what is the length of its base?

[ ]	24 cm
[ ]	26 cm
[x]	28 cm
[ ]	32 cm

To find the area of a triangle, multiply the base by the height, and then divide by 2. So, to find the length of the base, divide 420 by 30 then multiply your answer by 2

7.

The two parallel sides of a trapezium have lengths 10 cm and 20 cm, and the distance between them is 15 cm. What is the area of this trapezium?

[ ]	150 cm²
[ ]	200 cm²
[x]	225 cm²
[ ]	250 cm²

Area of a trapezium = ¹?₂ (a + b)h

8.

A garden is in the shape of a trapezium and it has an area of 1,500 metres². One of the parallel sides is 40 metres long and the other parallel side is 60 metres long. What is the distance between the parallel sides?

[ ]	20 metres
[x]	30 metres
[ ]	40 metres
[ ]	50 metres

When you are dealing with shapes it is often useful to draw the shape so that you can understand the question better

9.

Archie says that the area of a rhombus of side length 12 cm is the same as that of a square of side 12 cm. Is he right?

[ ]	Always
[ ]	Never
[x]	Sometimes - it depends on the size of the internal angles
[ ]	Only if the perimeter is equal to 48cm

If the rhombus has a right angle, it is also a square

10.

If a rhombus has a base of 1.2 metres and a perpendicular height of 0.8 metres, what is its area?

[ ]	0.64 m²
[ ]	0.80 m²
[x]	0.96 m²
[ ]	1.44 m²

Area of a rhombus = perpendicular height x side length