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Perimeter & Area of Rectangles, Squares and Parallelograms

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.

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Perimeter & Area of Rectangles, Squares and Parallelograms

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  1. Perimeter & Area of Rectangles, Squaresand Parallelograms

  2. 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.

  3. Perimeter Perimeter – (P) The distance around a figure. 5 9 in. 9 5 5 in. 5 in. + 9 28 in. 9 in.

  4. Perimeter PERIMETER: 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!

  5. Perimeter Find the perimeter 9 cm. 9 9 cm. 9 cm. 9 9 + 9 36 cm. 9 cm. A shortcut for area of a square is 4 x side

  6. Perimeter Find the perimeter 7 cm. 9 9 cm. 9 cm. 7 9 + 7 32 cm. 7 cm.

  7. Perimeter Find the perimeter Thumbs up when you know the answer. 6 in. 3 in. 3 in. 6 in. 3in+6in+3in+6in = 18in

  8. Area of a Rectangle • Area is the number of square units that are needed to cover the surface of a figure. height (h) base (b) • How many squares cover this rectangle? • The area of this rectangle is • 12 squares or 12 units squared.

  9. Area of a Rectangle • Label the dimensions of this rectangle. 2 units 6 units • 2 units x 6 units = 12 units2. Area is in units2 because you are multiplying units.

  10. Area of a Rectangle We found the area of the rectangle by multiplying the base times the height. 2 units A = bh 6 units The area of a rectangle is also known as the length time the width. A = bh is the same as A = lw

  11. Area of a Rectangle What is the area of the rectangle? 5 6 5 ft. x 30 ft.2 6 ft. 30 ft2 or square feet

  12. Using The Correct Units • PERIMETER: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 widthheight • in in in =in3 width squared length height cubed width length

  13. Area of a Square 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. A= s2 s height = s s base = s

  14. Area of a Square What is the area of the square? 4 4 m. x 4 16 m.2 4 m. 16m2 or square meters

  15. Take Out Your Learning Targets

  16. LT #8Perimeter of a Rectangle & Square 2 5 in. • The Perimeterof a figure is the distance around a figure. 5 2 2 in. 2 in. + 5 14 in. 5 in. Rectangle Square 4 8 ft 5 8 ft

  17. # 8 Area of a Rectangle & Square The Areaof a figure is the number of square units needed to cover it. A = 2 3 6 square units 6 units2 2 3 Square Rectangle 8m 4 8m 5

  18. Using The Correct Units LT #9 • PERIMETER: 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 width squared length height cubed width length

  19. Area of a Parallelogram Given the formula for area of a rectangle, we are going to use that information to derive the formula for the area of a parallelogram Watch carefully not to miss it!

  20. Area of a Parallelogram Draw a straight line from the top corner perpendicular to the base Cut that triangle and move it to the other side What shape does it make? Rectangle

  21. Area of a Parallelogram Use this information to find thearea of a parallelogram h height = h h b base = b A parallelogram has the same area as a rectangle! What is the formula forarea of a parallelogram?

  22. Area of a Parallelogram What is the area of this parallelogram? 5 5 cm. 7 x 35 cm.2 7 cm. 35 square centimeters or 35 cm.2

  23. Area of a Parallelogram What is the area of this parallelogram? 5 6 x 5 ft. 30 ft.2 6 ft. 30 square feet or 30 ft.2

  24. Take Out Your Learning Targets

  25. Area of a Parallelogram LT #10 To find the area for a parallelogram use what you know about area of a rectangle. A = base • height 3 in A = b • h 5 in A = 5 • 3 = 15 in2

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