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Problem solving with perimeter and area

I can use my knowledge of perimeter and area to solve problems.

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Lesson 12 of 12

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Year 7

Problem solving with perimeter and area

I can use my knowledge of perimeter and area to solve problems.

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Lesson slides

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Lesson details

Key learning points

Problems in context involving perimeter can be solved.
Problems in context involving area can be solved.
The units of measurement should be the same.

Keywords

Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Perimeter - The perimeter is the distance around a 2D shape.

Common misconception

Pupils may struggle to determine whether a question is asking about the perimeter or the area.

Encourage pupils to draw a diagram to represent the situation as this can make it clearer as to whether perimeter or area is required.

In the final section of the lesson, it can be beneficial for pupils to draw accurate versions of the potential squares to see that they are not squares if the conversion of the units means the measurements are different.

Teacher tip

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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Prior knowledge starter quiz

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6 Questions

Q1.
Distance can be measured using ...

Correct answer: metres

acres

litres

tonne

Q2.
1 m is equivalent to

10 cm

Correct answer: 100 cm

1000 cm

10 000 cm

Q3.
1 cm is equivalent to

Correct answer: 10 mm

100 mm

1000 mm

10 000 mm

Q4.
5 m is equivalent to cm

Correct Answer: 500, 500 cm, five hundred, five hundred cm

Q5.
37 mm is equivalent to cm

Correct Answer: 3.7, 3.7 cm

Q6.
1284 cm is equivalent to ______ m

128.4

Correct answer: 12.84

1.284

Assessment exit quiz

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6 Questions

Q1.
The perimeter of this shape is 82 cm. What is the area? (You do not need to state the units.)

Correct Answer: 319, 319 cm$$^2$$

Q2.
The area of a given square is 144 cm$$^2$$. What is the perimeter?

Correct Answer: 48, 48 cm

Q3.
A groundskeeper walks around the boarder of the park he looks after. How far does he walk?

Correct Answer: 460 m, 460

Q4.
Andeep is helping his family to lay a new carpet. How much carpet is needed to cover the floor of the room? (You do not need to state the units.)

Correct Answer: 11.25, 11.25 m$$^2$$

Q5.
Calculate the perimeter of the rectangle.

36.6 m

318 cm

339 m

Correct answer: 636 cm

Q6.
Calculate the area of the triangle (do not state the units, you can give your answer in either $$cm^2$$ or $$m^2$$).

Correct Answer: 326 000, 326000, 32.6

Lesson appears in

UnitMaths / Perimeter and area

Maths

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Problem solving with perimeter and area

Problem solving with perimeter and area

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Equipment

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.Distance can be measured using ...

Q2.1 m is equivalent to

Q3.1 cm is equivalent to

Q4.5 m is equivalent to cm

Q5.37 mm is equivalent to cm

Q6.1284 cm is equivalent to ______ m

Assessment exit quiz

6 Questions

Q1.The perimeter of this shape is 82 cm. What is the area? (You do not need to state the units.)

Q2.The area of a given square is 144 cm$$^2$$. What is the perimeter?

Q3.A groundskeeper walks around the boarder of the park he looks after. How far does he walk?

Q4.Andeep is helping his family to lay a new carpet. How much carpet is needed to cover the floor of the room? (You do not need to state the units.)

Q5.Calculate the perimeter of the rectangle.

Q6.Calculate the area of the triangle (do not state the units, you can give your answer in either $$cm^2$$ or $$m^2$$).

Lesson appears in

UnitMaths / Perimeter and area

Maths

Q1.
Distance can be measured using ...

Q2.
1 m is equivalent to

Q3.
1 cm is equivalent to

Q4.
5 m is equivalent to cm

Q5.
37 mm is equivalent to cm

Q6.
1284 cm is equivalent to ______ m

Q1.
The perimeter of this shape is 82 cm. What is the area? (You do not need to state the units.)

Q2.
The area of a given square is 144 cm$$^2$$. What is the perimeter?

Q3.
A groundskeeper walks around the boarder of the park he looks after. How far does he walk?

Q4.
Andeep is helping his family to lay a new carpet. How much carpet is needed to cover the floor of the room? (You do not need to state the units.)

Q5.
Calculate the perimeter of the rectangle.

Q6.
Calculate the area of the triangle (do not state the units, you can give your answer in either $$cm^2$$ or $$m^2$$).