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Area & Perimeter

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Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet, miles, meters, etc

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Area The space within a shape – Measured in units of length squared i.e. ft 2, mi 2, m 2, etc

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Why feet squared? Units for area are always squared because they are describing how many little squares it would take to fill in the shape. – For example: 75 ft 2 means that there are 75 squares that are 1 foot on each side needed to cover the space. 1 foot

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Area of a square, rectangle & parallelogram A = bh – Base and Height ALWAYS must form a 90 degree angle! 6 meters 15 meters 12 meters Area = bh = 6 x 12 = 72 m 2

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AREA OF A PARALLELOGRAM Welcome. Today you’re going to discover the formula for area of a parallelogram. h b Click to Continue

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AREA OF A PARALLELOGRAM To do this let’s cut the left triangle and… h b Click to Continue

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slide it… AREA OF A PARALLELOGRAM h h b Click to Continue

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slide it… AREA OF A PARALLELOGRAM h h b

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slide it… AREA OF A PARALLELOGRAM h h b

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slide it… AREA OF A PARALLELOGRAM h h b

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…thus, changing it to a rectangle. What is the area of the rectangle? AREA OF PARALLELOGRAM h b

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Area of a triangle – Base and Height ALWAYS must form a 90 degree angle! (be perpendicular) 8 feet Area = bh ÷ 2 = 8 x 9 ÷2 = 36 ft 2 9 feet 12 feet

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What is the area of the square? A = bh = 2 x 2 = 4 in 2

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What is the perimeter of the square? P = s + s + s + s = 2 + 2 + 2 + 2 = 8 inches

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What is the area of the rectangle? A = bh = 8 x 3 = 24 cm 2

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What is the perimeter of the rectangle? P = b + b + h + h = 8 + 8 + 3 + 3 = 22 centimeters

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What is the area of the shape? A = bh = 12 x 5 = 60 cm 2

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What is the area of the shape? A = bh = 7 x 10 = 70 in 2

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What is the area of the shape? Area = bh ÷ 2 = 4 x 15 ÷ 2 = 30 in 2

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What is the area of the shape? Area = bh ÷ 2 = 6 x 9 ÷2 = 27 cm 2

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What is the area of the shape? Area = bh ÷ 2 = 8 x 5 ÷2 = 20 in 2

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http://www.mathgoodies.com/worksh eets/perimeter-area-wks.html

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