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Objective
Find the area of parallelograms
Vocabulary
parallelogram
A quadrilateral with opposite sides parallel
HeightBase
Vocabulary
base
Either side that is perpendicular to the height
HeightBase
Vocabulary
height
The distance between the 2 bases
HeightBase
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.
Count number of units of the length of a base
1 2 3
Replace b with 3 units
A = 3 units
Base
Write formula for area of parallelogram
1/3
Find the area of the parallelogram.
Count number of units between the 2 bases
12345678910
Replace h with 10 units
A = 3 units
Base
Base
10 units
1/3
Find the area of the parallelogram.
Multiply the numbers 3 10
A = 3 units 10 units
A = 30
Multiply the units
unit unitunit2
Answer:
1/3
Find the area of the parallelogram.
Answer: A = 20 units2
1/3
Find the area of the parallelogram.
2/3
Replace b with 8.2 cm
A = 8.2 cm
Replace h with 4.5 cm
4.5 cm
Write formula for area of parallelogram
Find the area of the parallelogram.
2/3
A = 8.2 cm 4.5 cm
Multiply the numbers 8.2 4.5
A = 36.90Multiply the units
cm cm
cm2 Answer:
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?
3/3
Write formula for area of parallelogram
Replace b with ft
A = ft
Replace h with ft
ft
INTERIOR DESIGN A particular area rug is shaped like a parallelogram. What is the area of the floor it will cover?
3/3
A = ft ft Multiply the numbers
Multiply the units
ft ft
A =
Since the dimensions are fractions the answer must be fractions
ft2
Answer:
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
