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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?.

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slide2

PARALLELOGRAM

What is the area

of this parallelogram?

S=side

H=height

B=base

slide3

PARALLELOGRAM

What is the area

of this parallelogram?

S=side

H=height

B=base

CUT HERE!

slide4

PARALLELOGRAM

What is the area

of this parallelogram?

H=height

B=base

MOVE TO HERE!

slide5

PARALLELOGRAM

It’s the same as

the area of this rectangle!

H=height

B=base

slide6

PARALLELOGRAM

Arearectangle= Base x Height

(perpendicular height H)

H=height

B=base

slide7

PARALLELOGRAM

Areaparallelogram = Base x Height

(perpendicular height H)

Side

H=height

B=base

slide8

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
Examples
  • Find the area of the parallelogram.

A=bh

A= 11(7)

A=77 in²

7 in

8in

11 in

your turn
Your Turn
  • Find the area of the parallelogram.

A=bh

A= 12(24)

A=288 cm²

24 cm

14cm

12 cm

slide11

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.

slide12

18 in

b

A=bh

2052= b(18)

b =114

The length of the treadmill’s belt is 114 inches

triangles
Triangles
  • Height and Base of a Triangle

HEIGHT

HEIGHT

BASE

BASE

BASE

area of a triangle
Area of a Triangle
  • Area: A =

Area =

why is that the area of a triangle
Why is that the Area of a Triangle?

Area of parallelogram = base x height

1

2

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

111 ft

231 ft

examples1
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
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.
slide19

Practice:

Blue Book

Pg. 554: #7-13 all

Pg. 561: #6-15 all