Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10...

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Area of Parallelograms and Triangles

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Transcript of Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10...

Page 1: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Area of Parallelograms and Triangles

Page 2: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Area in the amount of space inside an enclosed region.

Area of Rectangle = base x height

Area of a Rectangle

Base =10

Height = 6

Area = (10)(6) = 60 square units

Page 3: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

A parallelogram has the same area of a rectangle because if you cut off part of a parallelogram and move it to the other side it looks like a rectangle.

Area for a Parallelogram = Base x Height

Area of a Parallelogram

Page 4: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Finding the Area of a Parallelogram

55

8

8

4

The Base and Height of a figure always made a right angle.

Area of the parallelogram = base x height

= 8 x 4

= 32 square units

Page 5: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Another parallelogram

6

6

8

7

8

Remember the Base and Height of a figure always made a right angle.

Area Parallelogram = base x height = 6 x 7 = 42 square units

Page 6: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

The Area of a triangle = ½ x (Base x Height) or 1/2bh

WHY?

Answer: Because every triangle is actually ½ of a parallelogram or a rectangle.

Finding the Area of a Triangle

Page 7: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

The height of this triangle is 5.Area = ½ b h

= ½ (8) (5) = 20 square units

Sometimes the height of a polygon is outside of figure

10 6 5

8 3.4

Page 8: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Step 1: Graph y = x+2, y=2, x=6

Step 2: Count the length of the base and height

Step 3: Calculate the area of the triangleArea = ½ bh = ½ (6)(6) = 18 square units

Find the area of the shape enclosed by the lines: y = x+2, y=2, x=6

6

6

Page 9: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Step 1: Plot the pointsStep 2: Connect the dots

Step 3: Count out the base and height

Step 4: Find the AreaArea = b h = (7)(4) = 28 square units

Find the area of polygon with the given vertices: E(1,1), F(4,5), G(11,5), H(8,1)

E

F G

H

4

7

Page 10: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

Regular Geometry:Pg 351 (1-7 all, 11-13 all, 25,27, 36-42 even)

Honors Geometry - 3 more slidesPg 351 (2-24 even, 25,27, 36-42 even, 44,45)

Homework

Page 11: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

The trick to this problem is that there are two ways to find the area of this parallelogram:

A = (10)(x) = (8)(6) 10x = 48

x = 4.8

Find x.10

6

x8

Page 12: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

A triangle has a height of 12 cm and an area of 48 cm2 Find the length of the base.

Area of Triangle = ½ b h48 = ½ b (12)48 = 6b 8 = base

Working backwards

Page 13: Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.

A parallelogram has an area of 270 square cm. The base and height have a ratio of 5:6 respectively. Find the base and the height.

Area = b h 270 = (5x)(6x) 270 = 30x2

9 = x2

3 = x

base = 5(3) = 15 and height = 6(3) = 18

Working backwards

6x

5x


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