SOLUTION: thomas is going to make an open top box by cutting equal squares from the four corners on an 11 inch by 14 inch sheet of cardboard and folding up the sides. if the area of the base

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Question 176010This question is from textbook
: thomas is going to make an open top box by cutting equal squares from the four corners on an 11 inch by 14 inch sheet of cardboard and folding up the sides. if the area of the base is to be 80 sqare inches then what size should be cut from each corner?

This question is from textbook

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(11-x)(14-x)=80
154-25x+x^2=80
x^2-25x+154-80=0
x^2-25x+74=0
Using the quadratic equation x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ we get:
x=(25+-sqrt[-25^2-4*1*74])/2
x=(25+-sqrt625-296])/2*1
x=(25+-sqrt329)/2
x=(25+-18.138)/2
x=6.86/2
x=3.43 ans. for the size of the cut-out on the corners.
Proof:
(11-3.43)(14-3.43)=80]
7.57*10.57=80
80~80