Multiplying Fractions With Models Worksheets With Answer Key Page 30
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39area with FractiOns
Lesson 20
A
builder needs to know how many square feet of siding to buy for one side of a house. A carpet layer
needs to know the square footage of a room so carpet can be ordered. An architect fi nds the square footage on
blueprints in order to give fi nal dimensions to the owner of a company wishing to build a new offi ce building.
Area
is the number of square units used to cover a surface. A rectangle with an area of 6 square units can also
be written as 6 units².
6 units²
2 units
3 units
How do the length and width aff ect the area? One side is 2 units. Th e other side is 3 units. Th e area is 6 square
units. Th e area of diff erent shapes can be found using multiplication.
2 × 3 = 6
Find the area of the rectangle.
examPle 1
_
1
2
2
4
s
1 _
Area = length × width
Area = 4 × 2
olution
2
Change the mixed number and whole
4 _
5 _
_
1
number into improper fractions.
4 =
and 2
=
1
2
2
2
4 _
5 _
20 __
4 _
5 _
10 __
Multiply.
Area =
×
=
or
×
=
1
2
2
1
2
1
1
20 __
10 __
Simplify.
= 10 or
= 10
2
1
Th e area of the rectangle is 10 square units or 10 units².
97
Lesson 20 ~ Area With Fractions
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