Area of a Parallelograms and Triangles

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# Area of a Parallelograms and Triangles - PowerPoint PPT Presentation

Area of a Parallelograms and Triangles. PARALLELOGRAM. What is the area of this parallelogram?. S =side. H=height. B =base. PARALLELOGRAM. What is the area of this parallelogram?. S =side. H=height. B =base. CUT HERE!. PARALLELOGRAM. What is the area of this parallelogram?.

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### Area of a Parallelograms and Triangles

PARALLELOGRAM

What is the area

of this parallelogram?

S=side

H=height

B=base

PARALLELOGRAM

What is the area

of this parallelogram?

S=side

H=height

B=base

CUT HERE!

PARALLELOGRAM

What is the area

of this parallelogram?

H=height

B=base

MOVE TO HERE!

PARALLELOGRAM

It’s the same as

the area of this rectangle!

H=height

B=base

PARALLELOGRAM

Arearectangle= Base x Height

(perpendicular height H)

H=height

B=base

PARALLELOGRAM

Areaparallelogram = Base x Height

(perpendicular height H)

Side

H=height

B=base

To find the area of a parallelogram, you always multiply the base and the height.

Remember: The height is the line segment that is perpendicular to the base and creates a right angle.

What is the area of this parallelogram?

10 in

12 in

Area = base x height

A = (10)(10)

A = 100 in²

10 in

Examples
• Find the area of the parallelogram.

A=bh

A= 11(7)

A=77 in²

7 in

8in

11 in

• Find the area of the parallelogram.

A=bh

A= 12(24)

A=288 cm²

24 cm

14cm

12 cm

A treadmill’s belt is in the shape of a parallelogram before the ends are joined to form a loop. The area of the belt is 2052 in². The belt’s width, which is the height of the parallelogram, is 18 inches. Find the length of the belt, which is the base of the parallelogram.

18 in

b

A=bh

2052= b(18)

b =114

The length of the treadmill’s belt is 114 inches

Triangles
• Height and Base of a Triangle

HEIGHT

HEIGHT

BASE

BASE

BASE

Area of a Triangle
• Area: A =

Area =

Why is that the Area of a Triangle?

Area of parallelogram = base x height

1

2

Finding the Area of a Triangle
• Write the formula for area of a triangle.
• Substitute in values.
• Simplify.

111 ft

231 ft

Examples
• Find the Area of the triangle.
• A = ?, b = 9 ft, h = 6 ft

12 m

16.1 m

Finding the Base of a Triangle
• A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle.
• Write the formula for area of a triangle.
• Substitute in values.
• Simplify.
• Solve.

Practice:

Blue Book

Pg. 554: #7-13 all

Pg. 561: #6-15 all