SOLUTION: 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. if the area of the base is to be 80 square inch

Question 163849: 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. if the area of the base is to be 80 square inches, then what size should be cut from each corner?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(14-2x)(11-2x)=80
154-22x-28x+4x^2=80
4x^2-50x+154-80=0
4x^2-50x+74=0

x=(50+-sqrt[-50^2-4*4*74])/2*4
x=(50+-sqrt[2500-1184])/8
x=(50+-sqrt1316)/8
x=(50+-36.2767)/8
x=(50-36.2767)/8
x=13.7233/8
x=1.7154 inche squares are cut from all 4 corners.
Proof:
(14-2*1.7154)(11-2*1.7154)=80
(14-3.43)(11-3.43)=80
10.57*7.57)=80
80~80

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