document.write( "Question 1102245: a rectangular rug has an area of 96 square feet and a perimeter of 4o feet. The length is grater than the width. Suppose the width is x feet. Use the fact that the perimeter is 40 feet to find an expression for the light as a function of x. Find the length and width of the rug. \n" ); document.write( "
Algebra.Com's Answer #716901 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! width is x \n" ); document.write( "length is 20-x, so half perimeter is 20 (L+W). \n" ); document.write( "Area is x(20-x) and that equals 96 \n" ); document.write( "therefore 20x-x^2=96 \n" ); document.write( "x^2-20x+96=0 \n" ); document.write( "(x-12)(x-8)=0 \n" ); document.write( "x=12 feet or 8 feet. \n" ); document.write( "Use 8 feet for width since given that width is smaller. \n" ); document.write( "It is 8 ft x 12 ft. \n" ); document.write( "That is an area of 96 ft^2. \n" ); document.write( " |