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Measurement and Area Revision
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Measurement and Area Revision
Help plan a small community hub in Aotearoa New Zealand. Show working, include units, and round answers to 2 decimal places where needed. Use π = 3.14 unless a question says otherwise.
Materials and units
Choose sensible units and convert between them.
1.A builder orders timber for a shelter. Which unit is most suitable for recording the length of one roof beam: millimetres, metres, or kilometres? Explain briefly.
2.The hub needs 2.75 kg of screws and 1.8 L of paint. Convert 2.75 kg to grams and 1.8 L to millilitres.
3.A rectangular site is 24 m long and 18 m wide. What is its area in square metres?
Plan the outdoor spaces
Use area and perimeter to make practical decisions.
4.A rectangular garden bed is 5.4 m by 3.2 m. Calculate its area and the length of edging needed to go all the way around it.
5.A circular rain garden has radius 2.5 m. Find its area using π = 3.14.
6.The circle in the plan has radius 2.5 m. How much edging is needed around its full circumference? Use π = 3.14.
7.A triangular shade sail has a base of 6.8 m and a perpendicular height of 4.2 m. Calculate the area of fabric needed.
8.A paved platform is a trapezium with parallel sides 7 m and 11 m, and perpendicular height 4.5 m. Find its area.
Check the design
Interpret the measurements and explain your choices.
9.The hub’s 432 m² site is listed as 0.0432 hectares. Is this conversion correct? Show how you know.
10.A rectangular storage shed is 4.8 m long and 3.6 m wide. The floor will be covered with square tiles that each cover 0.36 m². How many tiles are needed, ignoring cuts and wastage?
11.A designer doubles both the base and perpendicular height of a parallelogram. How does its area change? Choose the correct statement and justify it using A = base × height.
- The area doubles.
- The area triples.
- The area becomes four times as large.
- The area stays the same.
12.A volunteer says the garden bed’s area is 17.2 m² because its perimeter is 17.2 m. Explain the error and state the correct area.
13.Write one reason why labelling a measurement with its unit matters. Give an example from the hub design.
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