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Quadrilaterals II by Monica Yuskaitis

Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

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Page 1: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Quadrilaterals II

by Monica Yuskaitis

Page 2: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Quadrilateral Family

parallelogramrectangle

rhombus square

trapezoid

Page 3: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Definition• Perimeter – (P) The distance

around a figure.

5 in. 5 in.

9 in.

9 in.

5959+

28 in.

Page 4: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Find the perimeter

9 cm. 9 cm.

9 cm.

9 cm.

9999+

36 cm.A shortcut for the square is 4 x side.

Page 5: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Find the perimeter

9 cm. 9 cm.

7 cm.

7 cm.

9797+

36 cm.

Page 6: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Find the perimeter

10 ft. 10 ft.

10 ft.

6 ft.

106

1010+

36 ft.

Page 7: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Find the perimeter

12 m. 15 m.

18 m.

11 m.

12111518+56 m.

Page 8: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

Definition• Area – (A) the measure, in square

units, of the surface of a figure.

The area of this rectangle is 8 squares.

Page 9: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a squareor rectangle.

3 cm.

5 cm.

Step 1 – Multiply the length times the width. (A = l x w)

53x

15

Page 10: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a squareor rectangle.

3 cm.

5 cm.

Step 2 – Indicate that the answer is in square centimeters by writing the exponent 2 after the unit of measure.

53x

15 cm.2

Page 11: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a squareor rectangle.

3 cm.

5 cm.

Step 3 – Read the answer: 15 squarecentimeters.

53x

15 cm.2

Page 12: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area?

5 ft.

6 ft.

56x

30 ft.2

You say: 30 square feet.

Page 13: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area?

2 in.

6 in.

26x

12 in.2

You say: 12 square inches.

Page 14: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area?

4 m.

7 m.

74x

28 m.2

You say: 28 square meters.

Page 15: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a parallelogram

height

base

Step 1 – Multiply the base times the height. (A = b x h)

90º

Page 16: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a parallelogram

height

base

Step 1 – Multiply the base times the height. (A = b x h)

1317x90º

17 in.

13 in.1

2

931+

221

Page 17: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to find the area of a parallelogram

height

base

Step 2 – Indicate that the answer is insquare inches by writing the exponent2 after the unit of measure. 13

17x

90º

17 in.

13 in. 1931+

221 in. 2

Page 18: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,90º

height2 cm.

4 x 2 = 8 cm.2

First find the area.

Page 19: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,

90º

height2 cm.

4 x 2 = 8 cm.2

Cut off the piece at the dotted line.

Page 20: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,

90º

height2 cm.

4 x 2 = 8 cm.2

Cut off the piece at the dotted line.

Page 21: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,

90º

height2 cm.

4 x 2 = 8 cm.2

Move this piece to the other side.

Page 22: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,

90º

height2 cm.

4 x 2 = 8 cm.2

Move this piece to the other side.

Page 23: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

base 4 cm,

90º

height2 cm.

4 x 2 = 8 cm.2

Now you have a rectangle 4 x 2 cm.

Page 24: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

length 4 cm,

width2 cm.

4 x 2 = 8 cm.2

What is the area of this rectangle?

Page 25: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

How to check the area of a parallelogram

length 4 cm,

width2 cm.

4 x 2 = 8 cm.2

That’s right! 8 cm2 The same as the parallelogram.

Page 26: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area of this parallelogram?

base 7 cm.

height 5 cm. 57x

35 cm.2

You say: 35 square centimeters

Page 27: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area of this parallelogram?

base 6 ft.

height 5 ft.

56x

30 ft.2

You say: 30 square feet.

Page 28: Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

Copyright © 2000 by Monica Yuskaitis

What is the area of this parallelogram?

base 5 m.

height 10 m.

105x

50 m.2

You say: 50 square meters.