Landscape Problem Part 2

Tamim El Moatassem

Consider your results (1)

in part 1 i got results that didn't make sense in context of the problem, i got x=0.38m. this would make the length (15x) 5.7m and the width (32x) 12.16m. the area with these measurements is 69.31m^2. since the aim was 750m^2 we can see that i had made many mistakes and that this answer is out of context.

Consider your results (2)

the correct answers, which were found with the GDC are x=-0.8 or x=1.6. we can tell that the first answer (x=-0.8) cannot be used because you cannot have a negative length. the area with these results was 1228.8m^2. this would make the cost of farmer 1’s land $1875000 with a length of 31.25m and a width of 24m

Similar SituationIn Indonesia farmers were protesting when the government wanted to make everyones land into equal squares, like a grid, but people had set up their farms and homes and didn't want to move. so the people protested because they didn't want to move all of their hard work over to somewhere else.

Why is Quadratics important?

i have two examples of situations where quadratics are important:

Satellite dishes have a parabolic shape because it’s optimal for reflecting incoming signals

The cables holding up a suspension bridge are parabolic to help transfer force onto the towers dug into the ground

Degree of Accuracy

the degree of accuracy was kept to 2 decimal places because in real life we don't have the need for 1 millimeter of land. it is practically nothing and you could only tell the difference on paper.

What if we changed the degree of

accuracy?if we were to change the degree of accuracy to one decimal place no difference in real life would be made. as i said before it would only make a difference on paper. if we where to change the degree of accuracy to zero decimal places there would actually be a significant difference, there could be a couple of meters lost in the process.

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