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This was given to me during a summative test and the teacher didn't bother giving me the correction. I just cannot figure it out

This was given to me during a summative test and the teacher didn't bother giving-example-1
User Isky
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1 Answer

3 votes
  • Base be y

ATQ


\\ \sf\longmapsto xy=6050\dots 1


\\ \sf\longmapsto 2(x+y)=220\implies x+y=110\dots 2

Now


\\ \sf\longmapsto (x+y)^2=x^2+y^2+2xy


\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2


\\ \sf\longmapsto 12100-12100=x^2+y^2


\\ \sf\longmapsto x^2+y^2=0\dots(3)

From all equations


\\ \sf\longmapsto (x-y)^2=x^2+y^2-2xy


\\ \sf\longmapsto (x-y)^2=0-2(6050)


\\ \sf\longmapsto (x-y)^2=-12100


\\ \sf\longmapsto (x-y)=110\dots(4)

Now

Adding 3 and 4


\\ \sf\longmapsto 2x=220


\\ \sf\longmapsto x=110m

One side won't be covered hence

  • y=2(110)=220m
User Hiws
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