Landscape Problem Part 2

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# Landscape Problem Part 2 - PowerPoint PPT Presentation

Hossam Khattab – Qatar Academy – Extended Mathematic 9B. Landscape Problem Part 2. Evaluating M y 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

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Hossam Khattab – Qatar Academy – Extended Mathematic 9B

### Landscape Problem Part 2

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

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)
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
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
Solving the Problem Alternately
• Dividing land into crops, then each farmer receives their percentage of each crop:

Wheat

Carrots

Potatoes

Lettuce

F A R M E R 2 ‘ S P O R T I O N O F L A N D

F A R M E R 1 ‘ S P O R T I O N O F L A N D