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Published byAdele Logan Modified over 9 years ago
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Ex. s + s + s + s = 4s 6 + 6 + 6 + 6 = 24 ft Perimeter: P = 4 s Perimeter: P = 2l + 2 w Ex. l + w + l + w = (l +w) + (l + w) = (l + l) + (w + w) = 2l + 2w 14 + 8 + 14 + 8 = 2(14) + 2(8) = 40 inches
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How does perimeter tie to area?How does perimeter tie to area? Let’s focus on the Square …. We know each side is 6 ft., … so what if we take squares where each side is 1 ft. and lay it over top of our square? What did we just do?
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Count the Blocks … what is our area formula? Area = s 2 Area = (6) 2 = 6 ft. 6 ft. = 36 ft. 2 Area = l w Area = (14 in.) (8 in.) = 112 in. 2
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What does this have to do with the perimeter and area of a parallelogram??
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Let’s Do an Experiment!Let’s Do an Experiment! Take the rectangle, ruler, and scissors on your desk and do the following: Draw a straight line connecting a vertex to a point on one of your length sides. Ex: Now cut along that line!
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Let’s Do an Experiment!Let’s Do an Experiment! Now what are we going to do with the triangle? Exactly! We’re going to place it on the other side of the “rectangle” and tape the two sides together. Now, take your ruler and measure each side … Make a Conjecture! Does this have anything to do with the perimeter and area formulas that we discussed earlier???
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Perimeter of a parallelogram is the sum of all of the measures of its sides. Example: s + s + s + s = P But what about the area? What formula can we create from this diagram? h b
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Area of a ParallelogramArea of a Parallelogram If a parallelogram has an area of A square units, a base of b units, and a height of h units, then: A = b h
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