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This lesson teaches how to find the area of parallelograms using base and height. It includes examples, formulas, and practice problems.
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Example 1-1a Objective Find the area of parallelograms
Example 1-1a Vocabulary parallelogram A quadrilateral with opposite sides parallel Height Base
Example 1-1a Vocabulary base Either side that is perpendicular to the height Height Base
Example 1-1a Vocabulary height The distance between the 2 bases Height Base
Lesson 1 Contents Example 1Find Areas of Parallelograms Example 2Find Areas of Parallelograms Example 3Use Area to Solve a Problem
Example 1-1a Find the area of the parallelogram. A = 3 units 1 3 Base 2 Write formula for area of parallelogram Count number of units of the length of a base Replace b with 3 units 1/3
Example 1-1a Base 1 2 Find the area of the parallelogram. 3 4 5 6 A = 3 units 10 units 7 8 9 Base 10 Count number of units between the 2 bases Replace h with 10 units 1/3
Example 1-1a Find the area of the parallelogram. Multiply the numbers 3 10 A = 3 units 10 units Multiply the units unit unit Answer: A = 30 unit2 1/3
Example 1-1b Find the area of the parallelogram. Answer: A = 20 units2 1/3
Example 1-2a 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
Example 1-2a Find the area of the parallelogram. A = 8.2 cm 4.5 cm Multiply the numbers 8.2 4.5 Answer: cm2 A = 36.90 Multiply the units cm cm 2/3
Example 1-2b Find the area of the parallelogram. Answer: 17.64 in2 2/3
Example 1-3a 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
Example 1-3a INTERIOR DESIGN A particular area rug is shaped like a parallelogram. What is the area of the floor it will cover? A = ft ft Multiply the numbers Since the dimensions are fractions the answer must be fractions Answer: A = ft2 Multiply the units ft ft 3/3
Example 1-3b 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
End of Lesson 1 Assignment