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Suppose you have a piece of cardboard with length 32 inches and width 20 inches and...

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Basic Math

Suppose you have a piece of cardboard with length 32 inches andwidth 20 inches and you want to use it to create a box. You wouldneed to cut a square out of each corner of the cardboard so thatyou can fold the edges up. But what size square should you cut?Cutting a small square will make a shorter box. Cutting a largesquare will make a taller box.

Since we haven’t determined the size of the square to cut fromeach corner, let the side length of the square be represented bythe variable x. Write a simplified polynomial expression in x andnote the degree of the polynomial for each of the followinggeometric concepts:

The length of the base of the box once the corners are cut out,the width of the base of the box once the corners are cut out, theheight of the box, the perimeter of the base of the box, the areaof the base of the box, the volume of the box.

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