document.write( "Question 953300: A 15m by 21m rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 567m2 \n" ); document.write( "
Algebra.Com's Answer #582344 by ankor@dixie-net.com(22740)\"\" \"About 
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A 15m by 21m rectangular garden is to have a gravel path of uniform width bordering it.
\n" ); document.write( " How wide is the path if the total area covered by the garden and path is 567m2
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\n" ); document.write( "Let x = the width of the gravel path
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\n" ); document.write( "The garden is 15 by 21, therefore the overall dimensions, which include the path will be:
\n" ); document.write( "(2x + 15) by (2x + 21)
\n" ); document.write( "The overall area then
\n" ); document.write( "(2x+15)*(2x+ 21) = 567
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 42x + 30x + 315 = 567
\n" ); document.write( "4x^2 + 72x + 315 - 567 = 0
\n" ); document.write( "A quadratic equation
\n" ); document.write( "4x^2 + 72x - 252 = 0
\n" ); document.write( "Simplify, divide by 4
\n" ); document.write( "x^2 + 18x - 63 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x + 21)(x - 3) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "x = 3 meter is the width of the path
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\n" ); document.write( "Check this, the overall dimensions add 6 m to each dimension of the garden
\n" ); document.write( "27 * 21 = 576 \n" ); document.write( "
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