Area of Parallelograms

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Transcript Area of Parallelograms

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Objective
Find the area of parallelograms
Vocabulary
parallelogram
A quadrilateral with opposite sides parallel
Height
Base
Vocabulary
base
Either side that is perpendicular to the height
Height
Base
Vocabulary
height
The distance between the 2 bases
Height
Base
Example 1 Find Areas of Parallelograms
Example 2 Find Areas of Parallelograms
Example 3 Use Area to Solve a Problem
Find the area of the parallelogram.
A = 3 units
1 2 3
Base
Write formula for area of parallelogram
Count number of units of the length
of a base
Replace b with 3 units
1/3
Base
1
2
3
4
5
6
7
8
9
10
Find the area of the parallelogram.
A = 3 units  10 units
Base
Count number of units between the
2 bases
Replace h with 10 units
1/3
Find the area of the parallelogram.
Multiply the numbers 3  10
A = 3 units  10 units
Multiply the units
Answer:
A = 30 unit2
unit  unit
1/3
Find the area of the parallelogram.
Answer: A = 20 units2
1/3
Find the area of the
parallelogram.
A = 8.2 cm  4.5 cm
Write formula for area of parallelogram
Replace b with 8.2 cm
Replace h with 4.5 cm
2/3
Find the area of the
parallelogram.
A = 8.2 cm  4.5 cm
Answer:
A = 36.90 cm2
Multiply the numbers 8.2  4.5
Multiply the units
cm  cm
2/3
Find the area of the parallelogram.
Answer: 17.64 in2
2/3
INTERIOR DESIGN A particular
area rug is shaped like a
parallelogram. What is the area
of the floor it will cover?
A=
ft 
ft
Write formula for area of parallelogram
Replace b with
ft
Replace h with
ft
3/3
INTERIOR DESIGN A particular
area rug is shaped like a
parallelogram. What is the area
of the floor it will cover?
A=
ft 
Answer:
A=
ft2
ft
Multiply the numbers

Since the dimensions are fractions
the answer must be fractions
Multiply the units
ft  ft
3/3
PAINTING John needs to paint a mural that is
parallelogram-shaped. What is the area of the mural
John needs to paint?
Answer:
3/3
Assignment
Lesson 14:1
Area of Parallelograms
3 - 13 All