Download - Landscape Problem Part 2
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Landscape Problem Part 2
Hossam Khattab – Qatar Academy – Extended Mathematic 9B
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Evaluating My Results – Good Points My results, although partially
incorrect make partial sense in context of problem
First “x” value was 2.82 made sense for most of the problem
Gave both sides equal when substituted into 480x - 1360x + 15 = 0. Also gave correct reasonable measurements when put into total area equation.
2
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Evaluating My Results – Bad Points (However) When finding the size of Famer 2’s
land, the size was unreasonable in context
Farmer 2’s land was approximately 4 times that of Famer 1, disagreeing with the diagram presented to us
Other “x” value, 0.01 was too small, and didn’t fit in when substituted back into either equations (area or quadratic)
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Degree of Accuracy Did most calculations to
2 decimal places (1 cm) Reasoning: People would
only reasonably measure land to a single cm (probably even less accurate in many cases)
Anything else would be far too tedious to measure
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Impact of Degree of Accuracy
In my calculations, Farmer 2 gains approx. 1.3 meters of land
This in turn costs him approx. $3250
Working to smaller degree would’ve made him pay less
This wouldn’t be applicable in real life due to tediousness of measurements
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Solving the Problem Alternately Dividing land into crops, then each
farmer receives their percentage of each crop:Carrot
sPotatoes Lettuce Wheat
F A R M E R 1 ‘ S P O R T I O N O F L A N D
F A R M E R 2 ‘ S P O R T I O N O F L A N D
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Use of Quadratics in Life
Building Bridges
Launching Missiles
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Use of Quadratics in Life – Contd.
Building Bridges
Anticipating Ball
Movement