perimeter & area of rectangles, squares and parallelograms

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Perimeter & Area of Rectangles, Squares and Parallelograms. Learning Targets. LT #8: I can find perimeter and area of rectangles and squares. LT #9: I can use the correct units when calculating perimeter, area and volume of figures. LT #10: I can find the area of a parallelogram. Perimeter. - PowerPoint PPT Presentation

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Perimeter & Area of

Rectangles, Squaresand

Parallelograms

Learning Targets

• LT #8: I can find perimeter and area of rectangles and squares.

• LT #9: I can use the correct units when calculating perimeter, area and volume of figures.

• LT #10: I can find the area of a parallelogram.

Perimeter Perimeter – (P) The distance

around a figure.

5 in. 5 in.

9 in.

9 in.

5959+

28 in.

PerimeterPERIMETER: Is the distance around a

figure. When you add the sides, you are also adding the units. When you add the units, your units DO NOT CHANGE!

If this rectangle has units in inches, then you are adding in + in + in + in = in

You must include units in every answer!

Perimeter Find the perimeter

9 cm. 9 cm.

9 cm.

9 cm.

9999+

36 cm.

A shortcut for area of a square is 4 x side

Perimeter Find the perimeter

9 cm. 9 cm.

7 cm.

7 cm.

9797+

32 cm.

Perimeter Find the perimeter

Thumbs up when you know the answer.

3 in.

6 in.

3 in.

6 in.

3in+6in+3in+6in = 18in

Area of a Rectangle

How many squares cover this rectangle?

height

base(h)

(b)

Area is the number of square units that are needed to cover the surface of a figure.

The area of this rectangle is 12 squares or 12 units squared.

Area of a Rectangle

2 units x 6 units = 12 units2.

2 units

6 units

Label the dimensions of this rectangle.

Area is in units2 because you are

multiplying units.

Area of a Rectangle

2 units

6 units

We found the area of the rectangle by multiplying the base times the height.

A = bh

The area of a rectangle is also known as the length time the width.

A = bh is the same as A = lw

Area of a RectangleWhat is the area of the rectangle?

5 ft.

6 ft.

56x

30 ft.2

30 ft2 or square feet

Using The Correct UnitsPERIMETER: Is the distance around

a figure. in + in + in + in = in

AREA: Is the square units that cover a figure.

length width = in in = in2

VOLUME: The number of cubic units inside a figure.

length width height in in in = in3

length

width

length width

height

squared

cubed

A square is a special rectangle.Since the base and the height are the same size, we call them sides (s) instead of base and height.

sheight = s

s

base = s

Area of a Square

A= s2

Area of a Square What is the area of the square?

4 m.

4 m.

44x

16 m.2

16 m2 or square meters

Take Out Your Learning Targets

LT #8 Perimeter of a Rectangle & Square

The Perimeter of a figure is the distance around a figure.

2 in. 2 in.

5 in.

5 in.

2525+

14 in.

Rectangle

45

2 2P l w

2(5) 2(4)P

18 units

4P s8 ft

8 ft

4(8)P 32 ft

Square

10 8

The Area of a figure is the number of square units needed to cover it.

A = 2 3 6 square units

6 units2

2

3

Rectangle

45

A l w A 5 4

220 un

2A = s

8m 8m

A 8 8 264 m

Square

# 8

Using The Correct UnitsPERIMETER: Is the distance around

a figure. in + in + in + in = in

AREA: Is the square units that cover a figure.

length width = in in = in2

VOLUME: The number of cubic units inside a figure.

V = length width height in in in = in3

length

width

length width

height

squared

cubed

LT #9

Area of a ParallelogramGiven the formula for area of a rectangle, we are

going to use that information to derive the formula for the area of a parallelogramWatch carefully not to

miss it!

Draw a straight line from the top corner perpendicular to the base

Cut that triangle and move it to the other sideWhat

shape does it make?

Rectangle

Area of a Parallelogram

What is the formula for area of a parallelogram?

Use this information to find the area of a parallelogram

A parallelogram has the same area as a rectangle!

h

base = b

height = h h

b

Area of a Parallelogram

hbA

What is the area of this parallelogram?

7 cm.

5 cm. 57x

35 cm.2

35 square centimeters or 35 cm.2

Area of a Parallelogram

What is the area of this parallelogram?

6 ft.

5 ft.56x

30 ft.2

30 square feet or 30 ft.2

Area of a Parallelogram

Take Out Your Learning Targets

Area of a Parallelogram

LT #10

5 in

3 inA = b • h

A = 5 • 3 = 15 in2

To find the area for a parallelogram use what you know about area of a rectangle.

A = base • height

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