Theorem of Pythagoras

 

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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