Area of Parallelograms and Triangles

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# Area of Parallelograms and Triangles - PowerPoint PPT Presentation

Area of Parallelograms and Triangles. Parallelograms in Real Life. 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.

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## Area of Parallelograms and Triangles

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### Area of Parallelograms and Triangles

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

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. So,

Area = base x height or A = bh

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

• Find the area and perimeter of the parallelogram.

A=bh

A= 12(24)

A=288 cm²

24 cm

14 cm

P = 12+12+14+14

P = 52 cm

12 cm

Example
• Find the area and perimeter of the parallelogram.

A=bh

A= 15(16)

A= 240 cm²

21 cm

16 cm

P = 15+15+21+21

P = 72cm

15 cm

Area of a Triangle

Area of parallelogram = base x height

Area of triangle = base x height

Area = bh

1

2

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

A= bh

A= (23)(11)

A= 126.5 ft²

11 ft

23 ft

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

A= bh

A= (16.1)(12)

A= 96.6 m²

A= bh

A= (9)(6)

A= 27 ft²

12 m

16.1 m

You try!

Find the area and perimeter of the triangle.

20 m

A= bh

A= (17)(13.4)

A= 113.9 m²

15 m

P = 20+15+17

P = 52 m

13.4 m

17 m