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Published byMichelle MacPherson Modified over 3 years ago

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A Little More Than An Acre?

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Jim is buying a field from Rob…

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Rob says the area of the field is…

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… a little more than an acre.

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Jim says to himself…

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…I dont trust Rob!

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How can I know the area for sure?

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102 steps this way…

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102 86 Keep walking…

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102 115 86 Keep walking…

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102 115 81 86 Keep walking…

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102 115 81 86 Now diagonally… 112

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Finally, I measure my own steps to be about 2.2 feet each…

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Was Rob s t r e t c h i n g the truth? … a little more than an acre.

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102 115 81 86112 Use Herons formula, taking the top triangle first…

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102 115 81 86112 Use Herons formula, taking the top triangle first…

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102 115 81 86112 Now the bottom triangle…

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102 115 81 86112 Now the bottom triangle…

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102 115 81 86112 The sum of the areas is…

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102 115 81 86112 Now for some unit conversions. First, convert square paces to square feet…

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102 115 81 86112 Then square feet to square miles…

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102 115 81 86112 And, finally, square miles to acres…

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102 115 81 86112 The area of the field is…

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Rob is a Liar! … a little more than an acre.

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