Think About a Plan A manufacturer is making cardboard boxes by cutting out four equal...

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Think About a Plan A manufacturer is making cardboard boxes by cutting out four equal squares from the corners of the rectangular piece of cardboard and then folding the remaining part into a box The length of the cardboard piece is 1 in longer than its width The manufacturer can cut out either 3 x 3 in squares or 4 x 4 in squares Find the dimensions of the cardboard for which the volume of the boxes produced by both methods will be the same o How can you represent the volume of the box using one variable o What system of equations can you write o Which method can you use to solve the system

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Think About a Plan A manufacturer is making cardboard boxes by cutting out four equal squares from the corners of the rectangular piece of cardboard and then folding the remaining part into a box The length of the cardboard piece is 1 in longer than its width The manufacturer can cut out either 3 x 3 in squares or 4 x 4 in squares Find the dimensions of the cardboard for which the volume of the boxes produced by both methods will be the same o How can you represent the volume of the box using one variable o What system of equations can you write o Which method can you use to solve the system

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