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Geometry
10.3 Area of Parallelograms
Objectives:Find the areas of parallelograms.Find the areas of shaded region
Area of Parallelograms
A = bh h
b
JustificationYou can justify the
area formulas for parallelograms as follows.
The area of a parallelogram is the area of a rectangle with the same base and height.
Using the Area Find the area of ABCD.
Use AB as the base.
So, b=12 and h=9
Area=BH=12(9) = 108 square units.
12
16
E
A
C
D
B
9
EXAMPLE 1 Use a formula to find area
SOLUTION
Method 1
Method 2
Find the area of PQRS.
Use PQ as the base. Then the height is QT. So, b =12 and h = 4.
Area = bh
The base is extended to measure the height RU. So, b = 6 and h = 8.
Use PS as the base.
=12(4) = 48 square units
GUIDED PRACTICE for Example 1
2.
100 units, 510 units2
ANSWER
Find the perimeter and area of the polygon.
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