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Measuring Our Space

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Measuring Our Space

A local community group is planning a garden and gathering space. Use the measurements and information on this sheet to help make the design work. Show units in your answers and include working for calculations.

Plan the space

Use this proposed feature list for Questions 1–3.

Feature

Length

Width

Vegetable bed

4.8 m

2.5 m

Tool shed floor

3.2 m

2.4 m

Path section

6.5 m

1.2 m

1.Calculate the area of the vegetable bed. Give your answer in square metres.

2.How many metres of edging are needed to go all the way around the rectangular vegetable bed?

3.The garden group has 15 m of edging. Is that enough for the vegetable bed? State how much edging will remain or how much more is needed.

Yes; 0.4 m will remain.
Yes; 1.4 m will remain.
No; 0.4 m more is needed.
No; 1.4 m more is needed.

Choose units and convert

The group is ordering materials and checking measurements before building.

4.Convert the path width of 1.2 m to centimetres, and the shed length of 3.2 m to millimetres.

5.A water tank holds 750 litres. It is filled using a 25 L watering can. How many full watering cans are needed to fill the tank?

6.A rectangular compost bin measures 1.5 m long, 0.8 m wide and 0.6 m high. Find its volume in cubic metres.

7.The group needs to measure the length of a long garden boundary, the thickness of a wooden board and the mass of a soil bag. Choose the most suitable tool for each: a 30 cm ruler, a tape measure, or bathroom scales.

Length of the garden boundary
Thickness of a wooden board
Mass of a soil bag

30 cm ruler
Tape measure
Bathroom scales

Scale drawing and smart design

A scale drawing helps the group test whether a design will fit before building.

8.On a plan with scale 1:100, 1 cm represents 1 m in the garden. The gathering area is 7 m long and 4 m wide. What dimensions should it have on the plan, in centimetres?

9.The full garden is a rectangle measuring 12 m by 9 m. A 3 m by 2 m shed and a 4 m by 2.5 m gathering platform will occupy part of it. If neither feature overlaps, how much garden area remains for planting and paths?

10.Explain one reason accurate measurement matters when planning a shared garden, and give one example of a problem that could happen if a measurement is wrong.