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Year 7

Problem solving with perimeter and area

You can use your knowledge of perimeter and area to solve problems.

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New
New
Year 7

Problem solving with perimeter and area

You can use your knowledge of perimeter and area to solve problems.

Download all resources
Share activities with pupils

Lesson details

Key learning points

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

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.

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.

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

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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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

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.)
An image in a quiz
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?
An image in a quiz
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.)
An image in a quiz
Correct Answer: 11.25, 11.25 m$$^2$$
Q5.
Calculate the perimeter of the rectangle.
An image in a quiz
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 $$m^2$$).
An image in a quiz
Correct Answer: 326 000, 326000, 32.6