document.write( "Question 182850: a rectangular piece of cardboard is 4times as long as it is wide. you make a box by cutting squares with side length x from the corners of the cardboard and turning up the resulting flaps. write an expression involving x and the original width of the cardboard w that represents the perimeter of the base of the box. then simplify the expression. explain what the possible values of x can be. \n" ); document.write( "
Algebra.Com's Answer #137262 by asim(1)\"\" \"About 
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width=w
\n" ); document.write( "length=4w
\n" ); document.write( "side of square=x
\n" ); document.write( "after turning the sides
\n" ); document.write( "the length of base=4w-x
\n" ); document.write( "width=w-2x
\n" ); document.write( "perimeter= 2(L+W)
\n" ); document.write( "= 2(4w-2x+w-2x)
\n" ); document.write( "= 2(5w-4x)
\n" ); document.write( "=10w-8x
\n" ); document.write( "possible values of x
\n" ); document.write( "10w-8x>0
\n" ); document.write( "10w>8x
\n" ); document.write( "10w/8>x
\n" ); document.write( "5w/4>x
\n" ); document.write( "or
\n" ); document.write( "x<5w/4
\n" ); document.write( "
\n" );