document.write( "Question 850245: You have a rectangular garden 15ft longer than it is wide. If a 4ft sidewalk goes around the garden and the area of the sidewalk is 632 squared feet, what is the length and width of the garden? (Use 1 variable) \n" ); document.write( "

Algebra.Com's Answer #512056 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let w = width.
\n" ); document.write( "Length is $\"w%2B15\"$ .
\n" ); document.write( "Garden area is $\"w%28w%2B15%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sidewalk forms an outer area and an inner area.
\n" ); document.write( "The outer area is $\"%28w%2B2%2A4%29%28w%2B15%2B2%2A4%29=%28w%2B8%29%28w%2B23%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sidewalk area is the outer area minus the inner(garden) area, and this area is given:
\n" ); document.write( " $\"highlight_green%28%28w%2B8%29%28w%2B23%29-w%28w%2B15%29=632%29\"$ .
\n" ); document.write( "This is a quadratic equation just requiring some simplification and then finish with either factoring or general solution to a quadratic equation.
\n" ); document.write( "You take it from here. \n" ); document.write( "

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