SOLUTION: Question Help A rectangular piece of sheet metal has a length that is 10 in. less than twice the width. A square piece 5 in. on a side is cut from each corner. The sides ar

Algebra ->  Volume -> SOLUTION: Question Help A rectangular piece of sheet metal has a length that is 10 in. less than twice the width. A square piece 5 in. on a side is cut from each corner. The sides ar      Log On


   

Question 1076107: Question Help

A rectangular piece of sheet metal has a length that is
10 in. less than twice the width. A square piece 5 in. on a side is cut from each corner. The sides are then turned up to form an uncovered box of volume
2560 in. cubed
Find the length and width of the original piece of metal.
The length of the original rectangle is ? its width is?


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w for width
2w-10 for length

Initial description put into the form of an equation:
highlight_green%285%28w-2%2A5%29%282w-10-2%2A5%29=2560%29

Simplify and solve for w.
5%28w-10%29%282w-20%29=2560
5%2A2%28w-10%29%28w-10%29=2560
%28w-10%29%5E2=256
w-10=16
highlight%28w=26%29