Multiplying Fractions With Models Worksheets With Answer Key Page 31
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39Find the area of the square.
examPle 2
1 __
ft
1
2
1 _
1 _
s
Area = side × side
Area = 1
× 1
olution
2
2
3 _
1 _
Change mixed numbers to improper fractions.
1
=
2
2
3 _
3 _
9 _
Multiply.
Area =
×
=
2
2
4
9 _
1 _
Simplify.
= 2
4
4
1 _
1 _
Th e area of the square is 2
square feet or 2
ft ².
4
4
exPlOre!
triangle area
step 1: Draw a rectangle on grid paper.
step 2: Count the number of grid squares that make up the rectangle’s area. Write this to the side of the
rectangle as Area = __ square units.
step 3: Record the rectangle’s length and width. Label these on the outside of the rectangle.
step 4: Draw a diagonal line from one corner of the rectangle to the opposite corner to make a right
triangle.
step 5: What do you think is the area of each triangle formed? Explain your reasoning.
Th e length of the base and the height are used when fi nding the area of a triangle. Th e height of a triangle is
a
perpendicular
line segment drawn from the base of the triangle to the opposite vertex. Th e base and height
are perpendicular if they form a right angle where the two line segments meet.
base
height
height
base
base
98
Lesson 20 ~ Area With Fractions
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