document.write( "Question 404866: The width of a rectangle is 7 inches shorter than the length. Find the width of the rectangle if the area is 98 square inches \n" ); document.write( "

Algebra.Com's Answer #286133 by Tatiana_Stebko(1539) $\"\"$ $\"About$

You can put this solution on YOUR website!
if the width of the rectangle is x inches, then the length is (x+7)
\n" ); document.write( "The area of the rectangle is $\"S=W%2AL\"$ , W- width, L-length
\n" ); document.write( "So the area is $\"x%2A%28x%2B7%29\"$
\n" ); document.write( "Equation
\n" ); document.write( " $\"x%2A%28x%2B7%29=98\"$
\n" ); document.write( " $\"x%5E2%2B7x-98=0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A1%2A%28-98%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-7+%2B21%29%2F2=7+\"$ or $\"x+=+%28-7+-21%29%2F2=-14%3C0+\"$ Extraneous root of the equation
\n" ); document.write( "The width is 7 inches, then the length is $\"7%2B7=14\"$ inches
\n" ); document.write( "Answer 7 inches and 14 inches \n" ); document.write( "

\n" );