Land Problem Part 2

Done by Akhil John

Do your results make sense in the context of the problem?

My results showed a numerous errors like the value of “X” in the quadratic formula but this result can make sense in the problem as when substituting “X” as 1.5, the results will make sense but however the result will still be off in the context of the problem and the area of the land and the measurements will have variation which considering the diagram would not make sense as when calculating farmer two’s land the result obtained will be completely different and unrealistic considering the diagram.

Justify the degree of accuracy

My degree of accuracy was 1 decimal point. The reason to changing the decimal point from 1 to 3 or to even 8 is that it is impossible to divide land to the accuracy of 8 decimal places as 8 decimal places is a hairline thin and it is difficult to find a wood and a fence with that accuracy. Also to make the calculation easier I used 1 decimal place. However the change in decimal point could also affect the amount of money given to the farmer who has lost land for the compensation of land.

What is the real life impact on the accuracy of the decimal point?

If the level of accuracy was changed then instead of 1 decimal point we make it 3 or more then the amount of money paid by the farmer who gained land would be more. Not only this when the degree of accuracy is changed the area of land the dimensions of land also would vary.

Importance of quadratic equations

Quadratic equations are also useful when designers have to design, design that requires a parabola like the bottom of the Eiffel tower. Quadratic equations is used by designer to obtain a perfect parabola as if there is a slight variation or difference the structure can collapse or be unstable.

Quadratic equation is also used to find the maximum height at which a ball should be thrown in order to make a basket or the height a ball should be thrown to attain a certain distance.

Examples:

How else can the land be divided?

The land can also be divide with an horizontal line across the field. However an horizontal line requires more fencing and thus will cost more and also the field would not be best for farming purposes and thus the vertical line proves to more beneficial for both farmers.

The land can also be divided with a diagonal line but then again this would not help the crops in their growth and also proves to be more complicated and thus the vertical line is more beneficial.