The document defines area as the amount of space a 2D shape covers, measured by counting the number of 1x1 squares it takes to cover the shape. Area is useful in fields like landscaping and manufacturing. For squares and rectangles, the area can be calculated by multiplying the length and width since those dimensions represent the number of rows and columns of 1x1 squares. Larger shapes may be too time-consuming to count squares, so area is commonly found by multiplying adjacent sides.
2. What is Area?
Area is the amount of space a surface or 2D shape covers.
Area is defined as the number of one by one squares a surface covers.
1m
1m
3. What is Area?
Area is the amount of space a surface or 2D shape covers.
Area is defined as the number of one by one squares a surface covers.
1m
1m
= 1m2
4. What is Area?
Area is the amount of space a surface or 2D shape covers.
Area is defined as the number of one by one squares a surface covers.
1m
1m
= 1m2
Because area is measured
in squares, we always use
square units.
5. Why is Area useful to know?
Area is used in a huge number of fields.
Landscaping
Decorating
Manufacturing
6. Squares and Rectangles
3m
3m
Because area is defined as
the number of 1 by 1
squares a shape covers, if
we split it up into columns
and rows, each 1m wide in
this case, it will show us
how many squares the
shape covers.
7. Squares and Rectangles
3m
3m
Because area is defined as
the number of 1 by 1
squares a shape covers, if
we split it up into columns
and rows, each 1m wide in
this case, it will show us
how many squares the
shape covers.
8. Squares and Rectangles
3m
3m
Because area is defined as
the number of 1 by 1
squares a shape covers, if
we split it up into columns
and rows, each 1m wide in
this case, it will show us
how many squares the
shape covers.
9. Squares and Rectangles
3m
3m
Because area is defined as
the number of 1 by 1
squares a shape covers, if
we split it up into columns
and rows, each 1m wide in
this case, it will show us
how many squares the
shape covers.
10. Squares and Rectangles
3m
3m
Because area is defined as
the number of 1 by 1
squares a shape covers, if
we split it up into columns
and rows, each 1m wide in
this case, it will show us
how many squares the
shape covers.
11. Squares and Rectangles
3m
3m
So the area of this 3m by
3m square is 9m2.
Be cause the height is the
number of rows and the
width is the number of
columns, the area is the
height multiplied by the
width.
15. Examples
3m
5m
To work out the area we
multiply the width by the
height.
5m x 3m = 15m2
This is the same as counting
the number of 1 by 1
squares the shape covers.
16. Examples
When working with larger
shapes, counting the
number of squares can be
very time consuming.
12m
8m
17. Examples
When working with larger
shapes, counting the
number of squares can be
very time consuming.
12m
8m
18. Examples
When working with larger
shapes, counting the
number of squares can be
very time consuming.
This is why multiplying
adjacent sides (sides next to
each other) is more often
used.
12m
8m
19. Examples
When working with larger
shapes, counting the
number of squares can be
very time consuming.
This is why multiplying
adjacent sides (sides next to
each other) is more often
used.
12m
8m
12m x 8m = 96m2