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Basic Geometry in the Real World

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Basic Geometry in the Real World

Part 1: Geometry Around Us

1. Circle one example of geometry being used in an everyday space.

Measuring a rectangular garden

Listening to music

Choosing a colour

2. Choose the correct word: perimeter or area.

a) The distance around a garden is its ____________________.

b) The amount of space inside a garden is its ____________________.

3. Complete the formulas.

a) Perimeter = 2 × ____________________ + 2 × ____________________

b) Area = ____________________ × ____________________

4. A measuring error of 1 cm may seem small. Tick one practical consequence.

The amount of fencing or edging may be slightly wrong.

The garden will change into a different shape.

The temperature will change.

Part 2: Calculate and Explain

5. A rectangular garden is 6 m long and 4 m wide. Find its perimeter. Show your working and include the unit.
6. Find the area of the same rectangular garden. Show your working and include the unit.
7. Which measurement would you use for each job? Write perimeter or area.

a) Buying edging for the garden: ____________________

b) Finding the plantable space inside the garden: ____________________

8. A rectangular dog area is 8 m long and 5 m wide. Find its area. Show your working and include the unit.
9. Write one simple reasonableness check for your answer to Question 8.

Answer Key

1. Measuring a rectangular garden.

2. a) perimeter    b) area

3. a) length; width    b) length; width

4. The amount of fencing or edging may be slightly wrong.

5. Perimeter = 2 × 6 m + 2 × 4 m = 20 m.

6. Area = 6 m × 4 m = 24 m².

7. a) perimeter    b) area

8. Area = 8 m × 5 m = 40 m².

9. Example: 8 × 5 is 40, so 40 m² is reasonable because the answer is between 8 and 5 multiplied together.

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