# Revisiting area: Working out side lengths when given area

# Revisiting area: Working out side lengths when given area

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## Lesson details

### Key learning points

- In this lesson, we will be looking at working out side lengths of various quadrilaterals and triangles when only given the area and 1 other measure of a shape.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Which of the following is larger than the area of a circle with a radius of 3cm?

20

27

9

Q2.

Which of the following is larger than the area of a circle with a radius of 2cm?

10

11

12

Q3.

Which of the following is smaller than the area of a circle with a radius of 4cm?

53

60

70

Q4.

True or false: A circle with a radius of 1cm has a larger area than a rectangle with a base of 1cm and a height of 3cm.

False

Q5.

True or false: A circle with a radius of 2cm has a larger area than a rectangle with a base of 2cm and a height of 6cm.

False

### 5 Questions

Q1.

What is the height of a triangle with an area of 24 and a base of 8?

7

8

9

Q2.

What is the base of a parallelogram with an area of 24 and a height of 3?

6

7

9

Q3.

What is the height of a triangle with an area of 55 and a base of 11?

5

8

9

Q4.

This trapezium has an area of 25. Given that a=6 and b=4. Work out the height of the trapezium.

10

11

8

Q5.

This trapezium has an area of 30. Given that a=7 and h = 4. Work out the length of b.

10

11

5