Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas...
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Transcript of Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas...
![Page 1: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/1.jpg)
Geometry
10.3 Area of Parallelograms
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Objectives:Find the areas of parallelograms.Find the areas of shaded region
![Page 3: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/3.jpg)
Area of Parallelograms
A = bh h
b
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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.
![Page 5: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/5.jpg)
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
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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
![Page 7: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/7.jpg)
GUIDED PRACTICE for Example 1
2.
100 units, 510 units2
ANSWER
Find the perimeter and area of the polygon.
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![Page 10: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/10.jpg)
![Page 11: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/11.jpg)
![Page 12: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/12.jpg)
![Page 13: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/13.jpg)
![Page 14: Geometry 10.3 Area of Parallelograms. Objectives: Find the areas of parallelograms. Find the areas of shaded region.](https://reader035.fdocuments.us/reader035/viewer/2022081514/56649e4e5503460f94b44d96/html5/thumbnails/14.jpg)
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