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# Theorem of Pythagoras

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A rectangular field is to be divided along its diagonal PR into two plots. If the dimensions of the field are 150 times 75m calculate the length of the fencing needed to divide the field. Round off to an acceptable level of accuracy

Oct 26, 2020
edited by Guest  Oct 26, 2020

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A rectangular field is to be divided along its diagonal PR into two plots. If the dimensions of the field are 150 times 75m calculate the length of the fencing needed to divide the field. Round off to an acceptable level of accuracy

That diagonal is the hypotenuse of a right triange, so we can use Pythagoras' Theorem   c2 = a2 + b2

Call the diagonal c and call the sides of the field a and b

c2  =  1502 + 752

c2  =  22,500 + 5625

c2  =  28,125

c   =  sqrt(28,125)

c  =  167.705

I think a reasonable level of accuracy is tenths, so lets call it  = 167.7 meters of fence

In actuality, depending on the type of fence they build, they might need a little extra at the ends.

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Oct 26, 2020