SOLUTION: suppose that a box has a base with a width of x, a length of x+1, and a height of 2. It is cut from a rectangular sheet of material with an area of 182 inches2 find the dimension

Question 734275: suppose that a box has a base with a width of x, a length of x+1, and a height of 2. It is cut from a rectangular sheet of material with an area of 182 inches2
find the dimension of the box.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width of x, a length of x+1, and a height of 2. It is cut from a rectangular sheet of material with an area of 182
since the height is 2 , 2 inches is cut off from the sides
width will be x+4
length will e x+5
area of sheet = (x+4)(x+5)= 182
x^2+9x+20=182
x^2+9x-162=0
x^2+18x-9x-162=0
x(x+18)-9(x+18)=0
(x+18)(x-9)=0
x= 9 which is positive
Box dimension 9 by 10 by 2"
width = 13" and length = 14" of sheet
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