SOLUTION: Open-top box. Thomas is going to make an open-top box
by cutting equal squares from the four corners of an
11 inch by 14 inch sheet of cardboard and folding up the
sides. If th
Question 259886: Open-top box. Thomas is going to make an open-top box
by cutting equal squares from the four corners of an
11 inch by 14 inch sheet of cardboard and folding up the
sides. If the area of the base is to be 80 square inches, then
what size square should be cut from each corner? Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! (11-2x)(14-2x)=80
154-28x-22x+4x^2=80
4x^2-50x+154-80=0
4x^2-50x+74=0
2(2x^2-25x+37)=0
x=(25+-sqrt[-25^2-4*2*37])/2*2
x=(25+-sqrt[625-296])/4
x=(25+-sqrt329)/4
x=(25+-18.138)/4
x=(25-18.138)/4
x=6.86/4
x=1.7154 ans. for the size of the squares cut from each corner.
Proof:
(11-2*1.7154)(14-2*1.7154)=80
(11-3.43)(14-3.43)=80
7.57*10.57=80
80~80
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