SOLUTION: to make a box top by cutting equal squares from the 4 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 sq inches the

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: to make a box top by cutting equal squares from the 4 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 sq inches the      Log On


   

Question 280987: to make a box top by cutting equal squares from the 4 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 sq inches then what size sq should be cut from each corner.
Answer by checkley77(12844) About Me  (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
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(50+-sqrt[-50^2-4*4*74])/2*4
x=(50+-sqrt[2,500-1,184])/8
x=(50+-sqrt1,316)/8
x=(50+-36.277)/8
x=86.277/8
x=10.784 ans.
x=(50-36.277)/8
x=13.723/8
x=1,7154 ans.