Mathematics and Statistics
forAotearoa New Zealand
Year
Erin Doleman Programmeconsultant andauthor
Annie Facchinetti
Topic 3.2 Area
Area is the amount of space inside a flat shape or surface
Square centimetres (cm2) are used to measure smaller areas.
Square metres (m2) are used to measure larger areas.
Learn
1 How many 1 cm × 1 cm squares (1 cm2) are there in each of these shapes?
2 Circle the unit you would use to measure the area of each item or place in real life.
3 Match the items with their likely areas in real life.
DRAFT
4 Use the grid to draw 4 different shapes with an area of 8 cm2.
matchbox lid netball court
mobile phone chopping board table top
A quick way to find the area of a rectangle is to multiply the length by the width. Explore
1 Find the area of each rectangle below. Remember to show your working out.
DRAFT
2 Draw a shape that:
a is 4 cm wide and has an area of 12 cm2
b has an area of 16 cm2 and has one side that is 2 cm long.
3 What is the area of this basketball court?
28 m 15 m
4 Here is a class mat (whāriki).
a What is the area of the class mat (whāriki)?
A = × =
Basketball court area: A = × =
3 m
5 m
b If two children can sit in each 1 m2 on the mat, how many children can sit on this mat in total?
5 Write your own rectangular area problem for a classmate to solve.
1 If you can split a shape into rectangles, you can find its area. Find the area of each shape.
2
Area of rectangle A =
Area of rectangle B =
Total area of shape =
Area of rectangle A =
Area of rectangle B =
Total area of shape =
Bob and Mere are landscaping their rectangular backyard.
• The backyard length is 20 m and its width is 12 m.
• They would like two rectangular gardens. One measures 20 m by 2 m, and the other is 10 m by 3 m.
• They also want to have a concrete BBQ area that measures 5 m × 3 m.
• The remaining area is grass.
What is the total area of grass that they will have?
Remember to draw a diagram to support your thinking.
Total area of grass =
