document.write( "Question 584498: A sidewalk of uniform width surrounds a rectangular building. How wide is the sidewalk if the building is ten feet longer than wide; if the outside perimeter of the sidewalk is 192 feet, and if the area of the sidewalk is 704 square feet? Please make it a trinomial. I know the answer is 4, just not how to get there algebraically. \n" ); document.write( "
Algebra.Com's Answer #372799 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! \"the building is ten feet longer than wide\" ___ so the perimeter of the sidewalk will be also\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2(x + 10) = 192 ___ 4x + 20 = 192 ___ x = 43, x + 10 = 53\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of building plus sidewalk ___ 43 * 53\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of sidewalk ___ 704\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of building ___ (43 - 2w)(53 - 2w) where w is the width of the sidewalk\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(43 * 53) - 704 = (43 - 2w)(53 - 2w) ___ 4w^2 - 192w - (43 * 53) + 704 = 0 \n" ); document.write( " |