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Measuring Space Accurately
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Measuring Space Accurately
A local community group is planning a rectangular garden and a paved path. Solve each task carefully, showing units and working. Use a calculator if needed. In New Zealand, 1 m = 100 cm and 1 m² = 10,000 cm².
Choose and convert
Use suitable measuring tools and convert units accurately.
1.The team needs to measure the length of a pencil, the width of a garden bed, and the length of a boundary fence. Choose the most suitable tool for each: a 30 cm ruler, a 5 m tape measure, or a long measuring wheel.
- Pencil length
- Garden-bed width
- Long boundary fence
- 5 m tape measure
- 30 cm ruler
- Measuring wheel
2.The garden plan shows a 4.25 m by 2.8 m planting bed. Convert both dimensions to centimetres.
3.A roll of edging is 1,850 cm long. How many metres is this? Give your answer to two decimal places if needed.
Measure the design
Calculate perimeter and area, and make sensible decisions about units and precision.
4.The rectangular planting bed is 4.25 m long and 2.8 m wide. Calculate its perimeter and area. Include the correct units.
5.A 1.2 m-wide path is planned along one 4.25 m side of the bed. What is the area of the path if it runs the full length of that side?
6.The supplier sells garden fabric in rolls covering 5 m². How many whole rolls are needed to cover the 11.9 m² bed? Explain why you round your answer that way.
Check the measurements
Reliable measurements help prevent wasted materials and mistakes.
7.Two people measure the same fence. One records 8.46 m and the other records 8.5 m. Give one likely reason for the difference and one practical way to improve agreement.
8.A student calculates a 4.25 m by 2.8 m bed as 11.9 m. What is wrong with the answer, and what should the unit be?
9.A rectangular storage area measures 360 cm by 240 cm. Calculate its area in square metres.
10.The garden group has 15 m of edging. The bed needs edging around all four sides. Is there enough edging for the 4.25 m by 2.8 m bed? Show a calculation and state how much is left over or needed.
11.A plan is drawn at a scale of 1 cm to 0.5 m. What length on the plan represents the garden bed’s 4.25 m side?
3 printable pages
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