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Estimating Length and Area

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Estimating Length and Area

Help Emma and Nikau plan a temporary exhibition at a history museum. Estimate first, then use the given measurements to check whether each estimate is sensible. Use 1 m = 100 cm and 1 m² = 10,000 cm².

Choose a sensible estimate

Circle the most sensible estimate in each situation.

1.The museum’s display-case length is about the length of a small car. Which estimate is most reasonable?
  • 4 mm
  • 4 cm
  • 4 m
  • 40 m
2.A label beside a small artefact is 8 cm long. Choose the best estimate for its area.
  • About 1 cm²
  • About 50 cm²
  • About 8 m²
  • About 800 m²

Use the exhibition plan

The rectangular exhibition space is 12 m long and 8 m wide. A rectangular display zone in one corner measures 3 m by 2 m. Use this plan for Questions 3–6.

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3.Estimate the floor area before calculating. Is it closer to 20 m², 100 m² or 200 m²? Then calculate the exact area.
4.What is the area of the display zone? Show the multiplication you used.
5.How much floor area remains outside the display zone?
6.Nikau estimates the 12 m wall as 1,200 cm long. Is this a reasonable estimate? Explain the conversion.

Plan the details

Use estimation and measurement reasoning to help prepare the displays.

7.Emma needs a protective mat for a rectangular case top measuring about 140 cm by 80 cm. Estimate its area in square metres, then calculate it.
8.A rope barrier needs to run around the four sides of the 3 m by 2 m display zone. Estimate the total length, then find the perimeter.
9.Nikau says a room that is 12 m by 8 m has an area of about 40 m² because 12 + 8 = 20. Explain his mistake and give the correct area.
10.Match each museum measurement with the most suitable unit: length of an artefact label; length of an exhibition wall; area of a room; area of a small label.
  • Length of an artefact label
  • Length of an exhibition wall
  • Area of a room
  • Area of a small label
  • Metres
  • Centimetres
  • Square centimetres
  • Square metres

4 printable pages

  • Estimating Length and Area, page 1 of 4: Choose a sensible estimate, Use the exhibition plan

    Page 1

  • Estimating Length and Area, page 2 of 4: □ □ □ □

    Page 2

  • Estimating Length and Area, page 3 of 4: Plan the details

    Page 3

  • Estimating Length and Area, page 4 of 4: 10. Match each museum measurement with the most suitable unit: length of an artefact…

    Page 4

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