Blocks of land

Blocks of land

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about calculating the area of a block of land, and the width given the area.

The diagram below is part of a street map. (The streets run parallel to each other).
Area A is all the land between Nile Rd, Beach St, Knox St and Mercer St. Area C is the next block of land.

a) What is the area, in square metres, of area A in the diagram above? __________ m2
 
b) What is the area, in hectares, of area A? (1 ha = 10 000 m2) __________ hectares
 
c) Complete the general formula: Area = __________ × __________
 
d) What is the width, in metres, of area C in the diagram above? __________ m
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
area, conversion of units, hectares
Description of task: 
Students calculate the area of a block of land and calculate a width given the area. The questions also involve working with hectares.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y9 (05/1997)

Y10 (05/1997)
a) 97 200 (360 × 270) moderate moderate
b) 9.72 (360 × 270 ÷ 10 000)
[Accept a) ÷ 10 000.]		 moderate moderate
c) A = width × length
[Accept appropriate alternative.]		 easy easy
d) 290 m (7.83 × 10 000 ÷ 270) very difficult difficult