document.write( "Question 1086883: An interior decorator is buying wallpaper for two square walls. One wall is 4 feet wider than the other. If he/she needs 170 square feet of wall paper, what are the dimensions of the wall?Show solution \n" ); document.write( "
Algebra.Com's Answer #701180 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! smaller wall has side x \n" ); document.write( "larger wall has side x+4 \n" ); document.write( "area of smaller wall is x^2; area of larger wall is (x+4)^2=x^2+8x+16. \n" ); document.write( "These areas add to 170 \n" ); document.write( "So 2x^2+8x+16=170 \n" ); document.write( "x^2+4x+8=85 \n" ); document.write( "x^2+4x-77=0 \n" ); document.write( "(x+11)(X-7)=0 \n" ); document.write( "x=7 feet, only positive root. \n" ); document.write( "one wall is 7 x 7 feet or 49 ft^2 \n" ); document.write( "other wall is 11 x 11 feet or 121 ft^2 \n" ); document.write( "They add to 170 ft^2. \n" ); document.write( " |