document.write( "Question 319085: A rectangular garden is to be constructed, and it was decided that the length should be 10 more than the width. if the total area enclosed will be 180 ft^2, set up and solve an equation to find the dimensions of the garden.\r
\n" ); document.write( "\n" ); document.write( "Please help, this is like a foreign language to me!!!!!
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Algebra.Com's Answer #228447 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
First name the variables.
\n" ); document.write( "\"L\"-length of the rectangular garden
\n" ); document.write( "\"W\"-width of the rectangular garden
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\n" ); document.write( "Now translate the words to equations,
\n" ); document.write( "\"length should be 10 more than the width\"
\n" ); document.write( "1.\"L=10%2BW\"
\n" ); document.write( "\"total area enclosed will be 180 ft^2\"
\n" ); document.write( "What's the area of a rectangle???
\n" ); document.write( "In terms of its length and width, the area is,
\n" ); document.write( "\"A=L%2AW\"
\n" ); document.write( "2.\"L%2AW=180\"
\n" ); document.write( "Now you have two independent equations with two unknowns, you can solve for each.
\n" ); document.write( "Substitute eq. 1 into eq. 2,
\n" ); document.write( "\"%2810%2BW%29W=180\"
\n" ); document.write( "\"10W%2BW%5E2=180\"
\n" ); document.write( "\"W%5E2%2B10W-180=0\"
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( "\"W=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"W=+%28-10+%2B-+sqrt%28+10%5E2-4%2A1%2A%28-180%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"W=+%28-10+%2B-+sqrt%28+100%2B720+%29%29%2F%282%29+\"
\n" ); document.write( "Only the positive result makes sense in this case.
\n" ); document.write( "\"W=+%28-10+%2B+sqrt%28820+%29%29%2F%282%29+\"
\n" ); document.write( "\"W=+%28-10+%2B+2%2Asqrt%28+205+%29%29%2F%282%29+\"
\n" ); document.write( "\"highlight%28W=+-5+%2B+sqrt%28+205+%29%29+\" ft
\n" ); document.write( "Then from above,
\n" ); document.write( "\"L=10%2BW\"
\n" ); document.write( "\"highlight%28L=5%2Bsqrt%28205%29%29\" ft
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