document.write( "Question 301909: The width of a rectangle is 10 inches shorter than its length. Find the width of the rectangle if the area is 119 square inches.\r
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Algebra.Com's Answer #216535 by london maths tutor(243)![]() ![]() You can put this solution on YOUR website! The width of a rectangle is 10 inches shorter than its length. Find the width of the rectangle if the area is 119 square inches.\r \n" ); document.write( "\n" ); document.write( "Let's the width be \"w\" and length be \"L\"\r \n" ); document.write( "\n" ); document.write( "w = (L-10) inches\r \n" ); document.write( "\n" ); document.write( "Area of a rectangle = width x length \r \n" ); document.write( "\n" ); document.write( "119 = L(L-10)\r \n" ); document.write( "\n" ); document.write( "L^2 - 10L = 119\r \n" ); document.write( "\n" ); document.write( "L^2 - 10L - 119 = 0\r \n" ); document.write( "\n" ); document.write( "(L-17)(L+7)=0\r \n" ); document.write( "\n" ); document.write( "L = 17 or L =-7 (N/A)\r \n" ); document.write( "\n" ); document.write( "Therefore, w = 17 - 10 = 7 \r \n" ); document.write( "\n" ); document.write( "Answer: Length = 17 inches and Width = 7 inches\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |