Landscape Problem Part 2

1. Hossam Khattab – Qatar Academy – Extended Mathematic 9B Landscape Problem Part 2

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

3. 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)

4. 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

5. 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

6. 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

7. Use of Quadratics in Life Launching Missiles Building Bridges

8. Use of Quadratics in Life – Contd. Anticipating Ball Movement Building Bridges