Calculating Perimeter and Area Gateway – Unit 7 – Green Architecture © 2012 Project Lead The Way, Inc.Green Architecture.

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Presentation transcript:

Calculating Perimeter and Area Gateway – Unit 7 – Green Architecture © 2012 Project Lead The Way, Inc.Green Architecture

What is a Perimeter? The sum of all the sides of a shape (S 1 +S 2 +S 3 +S 4 +…) For a Rectangle: P = 2 ( H + W) P = Perimeter, H = Height, W = Width W = Width H = Height Perimeter

A rectangle has a width of 3” and a height of 2”. What is the perimeter of the rectangle? 3”3” 2”2” What Is the Perimeter? P = 2 ( H + W) P = 2 (2+3) P = 10”

A rectangle has a width of 6’- 6” and a height of 4’-0”. What is the perimeter of the rectangle? 4’-0” 6’- 6” What Is the Perimeter? P = 2 ( H + W) P = 2 (4+6.5) P = 21’ Convert 6’-6” to decimal feet 6” = 6/12 =.5

A rectangle has a width of 8’-4” and a height of 4’-3”. What is the perimeter of the rectangle? 4’ - 3” 8’ - 4” What Is the Perimeter? P = 2 ( H + W) P = 2 ( ) P = 25.16’ Convert to decimal feet 4” = 4/12 =.33 3” = 3/12 =.25

How would you determine the perimeter of this shape? Perimeter 2”2” 3”3” 5”5” 6”6” 3”3” 3”3”

Calculate the perimeter of this shape? Perimeter 2’-2” 2’-3” 5’-5” 6’-6” 3’-3”

What is Area? A two-dimensional surface enclosed within a specified boundary or geometric figure A = (H x W) A = Area, H = Height, W = Width H = Height W = Width Area

A rectangle has a width of 3 inches and a height of 2 inches. What is the area of the rectangle? 3”3” 2”2” What Is the Area? A = H x W A = 2 x 3 A = 6 sq. in.

A rectangle has a width of 6’ – 6” and a height of 4’. What is the area of the rectangle? 4’-0” 6’- 6” What Is the Area? A = H x W A = 4 x 6.5 A = 26 sq. ft.

A rectangle has a width of 8’-4” and a height of 4’-3”. What is the area of the rectangle? 4’-3” 8’-4” What Is the Area? A = H x W A = 4.25 x 8.33 A = sq. ft.

How would you determine the area of this shape? Area 2”2” 3”3” 5”5” 6”6” 3”3” 3”3”

Find the area of this shape? Area 2’2’ 3’-6” 5’-6” 6’-6” 3’-6” 3’

Find the Area and Perimeter You need to buy floor board trim and carpet for your bedroom. How much of each do you need? The door opening is 3’ – 0” wide. 1’1’ 3’3’ 10’

Find the Area and Perimeter Floor Trim = Perimeter P = S 1 +S 2 +S 3 +S 4 P = 14+(14-3) P = 45 ft floor trim 1’1’ 3’3’ 10’

Find the Area and Perimeter Carpet = Area A = H x W A = 14 x 10 A = 140 sq. ft. carpet 1’1’ 3’3’ 10’