document.write( "Question 1145802: A bookcase is to have 4 shelves, the width is to be 8 feet less than 4 times the height. Find the width and the height if the carpenter expects to use 22 feet of lumber to make it. \n" ); document.write( "
Algebra.Com's Answer #767063 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
there are 4 shelves, which means there are 4 widths.
\n" ); document.write( "there are two heights (one on each end of the bookshelves that the bookshelves connect to).
\n" ); document.write( "since the total amount of lumber is 22 feet, then you get the equation:
\n" ); document.write( "4w + 2h = 22
\n" ); document.write( "w = width
\n" ); document.write( "h = height
\n" ); document.write( "since w = 4h-8, then replace w with that to get:
\n" ); document.write( "4*(4h-8) + 2h =22
\n" ); document.write( "simplify to get:
\n" ); document.write( "16h - 32 +2h = 22
\n" ); document.write( "add 32 to both sides of the equation and combine like terms to get:
\n" ); document.write( "18h = 54
\n" ); document.write( "solve for h to get h = 3
\n" ); document.write( "since w = 4h-8, then w = 12-8 = 4
\n" ); document.write( "you have w = 4 and h = 3.
\n" ); document.write( "4w = 16 and 2h = 6 for a total of 22 feet of lumber.
\n" ); document.write( "your solution is that the width = 4 feet and the height = 3 feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );