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Measuring Perimeter Practically

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Measuring Perimeter Practically

A community garden in Aotearoa needs a plan for fencing, edging and paths. Use the measurements and scenarios below to calculate perimeter. Show your working, include units, and remember: perimeter is the total distance around the outside of a 2D shape.

Plan the garden

All lengths are in metres unless stated otherwise.

1.The herb bed is a rectangle measuring 3.6 m by 2.4 m. What length of edging is needed to go all the way around it?
2.The seedling bed measures 2.8 m by 1.5 m. A 0.9 m-wide gate will be left unfenced. How many metres of fence are needed?
3.A compost area is a square with sides of 185 cm. Find its perimeter in centimetres, then convert your answer to metres.

Measure and choose tools

In practical measuring, choose a tool suited to the boundary: a ruler or tape for straight edges, and string for a curved outline. Measure carefully and state the unit.

4.You need to measure the perimeter of a circular tree guard. Which method is most suitable?
  • Lay string carefully around the guard, mark where it meets, then measure the string with a tape.
  • Measure only across the middle with a short ruler.
  • Estimate the height of the guard.
  • Use a kitchen scale.
5.A curved pond edge is traced with string. The measured string length is 4 m 35 cm. Write this perimeter in metres as a decimal.
6.A circular planter has a perimeter of 3.14 m. A tape measure gives 3.41 m. Give one likely practical reason for the difference and one way to improve the measurement.

Solve the edging challenge

Choose the least-cost option, checking that the quantity purchased covers the whole perimeter.

7.A rectangular native-flower plot is 5.2 m long and 3.7 m wide. Timber edging is sold in 2 m lengths for $8 each. How many lengths must be bought, and what is the total cost?
8.The plot in Question 7 has a 1.2 m entrance with no edging. How many 2 m lengths are now needed, and how much do they cost?
9.A path is made from two identical rectangular sections, each 2.5 m long and 1.2 m wide. How much border edging is needed for both sections if they are separate and do not share an edge?
10.True or false: A rectangle with sides 6 m and 2 m has the same perimeter as a square with sides 4 m, because both have a perimeter of 16 m.
TrueFalse
11.Design a rectangular planting bed with perimeter exactly 20 m. Give one possible pair of whole-number side lengths and explain how you checked it.

3 printable pages

  • Measuring Perimeter Practically, page 1 of 3: Plan the garden

    Page 1

  • Measuring Perimeter Practically, page 2 of 3: Measure and choose tools, Solve the edging challenge

    Page 2

  • Measuring Perimeter Practically, page 3 of 3: 9. A path is made from two identical rectangular sections, each 2.5 m long and 1.2 m…

    Page 3

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