what is the formula for area of rectangle? what is the formula for the surface are of a rectangle?...
TRANSCRIPT
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Area of Parallelograms
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Re-cap...
What is the formula for area of rectangle?What is the formula for the surface are of a rectangle?What is the formula for the volume of a rectangular prism?
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Goal
Find the area of parallelograms.
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Key Vocabulary
Base of a parallelogramHeight of a parallelogramParallelogramRhombus
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Parallelogram
A parallelogram is a quadrilateral where the opposite sides are congruent and parallel.A rectangle is a type of parallelogram, but we often see parallelograms that are not rectangles (parallelograms without right angles).
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The Base of a Parallelogram
Either pair of parallel sides of a parallelogram are called the bases of the parallelogram.
base
base
baseba
se
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The Height of a Parallelogram
The shortest distance (perpendicular distance) between the bases of a parallelogram is called the height of the parallelogram.The height of the parallelogram is always perpendicular to the bases.
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What is the area of this parallelogram?
b=base
h=height
Area of Parallelogram
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What is the area of this parallelogram?
CUT HERE!
b=base
h=height
Area of Parallelogram
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What is the area of this parallelogram?
MOVE TO HERE!
b=base
h=height
Area of Parallelogram
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It’s the same as the area of this rectangle
h=height
b=base
Area of Parallelogram
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Arearectangle= base x height(perpendicular height h)
h=height
b=base
Area of Parallelogram
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b
h
Area of Parallelogram
Words: Area =(base)(height)
Symbols: A = bh
Very Important: The height must be perpendicular to the base.
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Areaparallelogram = base x height(perpendicular height h)
b=base
h=height
Area of Parallelogram
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Find the Area of a RhombusExample 3
Find the area of the rhombus.
a. b.
= 108
The area of the rhombus is 70 square inches.
The area of the rhombus is 108 square inches.
SOLUTION
A = d1d221a.
SOLUTION
b. A = d1d221
21 (14)(10)= (6 + 6)(9 + 9)= 2
1
= 70 (12)(18)= 21
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12.5cm
9.2 cm
Practice…
• Words: Area =(base)(height)
• Symbols: A = bh
Very Important: The height must be perpendicular to the base.
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Practice...
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Find the Height of a ParallelogramExample 2
Find the height of the parallelogramgiven that its area is 78 square feet.
SOLUTION
A = bh Formula for the area of a parallelogram
78 = 12h Substitute 78 for A and 12 for b.
6.5 = h Divide each side by 12.
The parallelogram has a height of 6.5 feet.ANSWER
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Practice...Find the height
Area= 16m2
4cm
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Practice...
12cm
? cm
Area= 60cm
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Wrap up...
• What’s the formula for area of a parallelogram?
• How would you find the height of a parallelogram when given the area and base?