Unit 8: Lesson 3B
“Area of Parallelograms”
Name:
1. What’s the area?


Show how each parallelogram could be changed into a rectangle with the same area.
Find the area of each parallelogram. Write your answer beneath each figure and circle it.
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2. Just give me the vertices!


Plot the given points and use them to draw parallelograms.
Find the area of each parallelogram and record your answers.
Parallelogram #1:
Vertices: (3,7) (5,4) (11,4) (9,7)
Parallelogram #2
Vertices: (-9,3) (2,3) (4,1) (-7,1)
Area = _______________
Area = _______________
Parallelogram #3
Vertices: (-9,-6) (-7,-2) (6,-2) (4,-6)
Parallelogram #4
Vertices: (9,-3) (11,-2) (11,-7) (9,-8)
Area = _______________
Area = _______________
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3. Designer Parallelograms.

a)
Use a ruler to draw parallelograms that have the given base and height. Go bold! Draw
parallelograms that are not rectangles. Find their area.
b)
Base = 8 Height = 4 Area = _________
a)
Base = 7 Height = 3 Area = _________
a)
Base = 4 Height = 6 Area = _________
a)
Base = 7 Height = 5 Area = _________
a)
Base = 3 Height = 6 Area = _________
Base = 8 Height = 1 Area = _________
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4. What’s the formula?
What is the formula for the area of a parallelogram?
h
Area = ________________
b
5. A Bunch of Parallelograms.

Find the area of the following parallelograms
12
5
6"
4
10
9
2
3"
8
5
31"
6"
2
7"
8
3"
10
4
12
13
4
6. Find the area for the given value of x.
b) x=6
a) x=7
x2-7
x+5
x+2
2x+9
Area = _____________________
Area = _____________________
7. You measure it!!!


Use a notecard to draw an altitude for the parallelogram below.
Measure the base and height of the parallelogram in centimeters and compute its area.
Base = _____________
Height= _____________
Area = _____________
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8. Your next mission: Parallelograms that have area equal to 24.


a)
Draw 2 different parallelograms that have area equal to 24.
Label the base and the height of each one.
b)
Base = _____ Height = _____ Area = 24
Base = _____ Height = _____ Area = 24
9. Use the Coordinates!

a)
Use the given coordinates to find the area of the parallelograms below.
b)
(7,9)
(2,6)
(14,10)
(5,10)
(2,4)
(11,4)
(7,-1)
(2,-4)
Area = ________________
Area = ________________
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10. Parallelogram Areas by Measurement



Use a note card to draw altitudes for the following parallelograms.
Measure the base and the height of each parallelogram. Label them!
Calculate the area of the parallelograms. Include the appropriate units in your answers.
a)
Base = _________
Height = __________
Area = __________
Height = __________
Area = __________
b)
Base = _________
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c)
Base = _________
Height = __________
Area = __________
Height = __________
Area = __________
d)
Base = _________
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