Landscape Problem Part 2

Hossam Khattab – Qatar Academy – Extended Mathematic 9B

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: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

Use of Quadratics in Life

Building Bridges

Launching Missiles

Use of Quadratics in Life – Contd.

Building Bridges

Anticipating Ball

Movement