document.write( "Question 186813: Translate the folowing into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? \n" ); document.write( "
Algebra.Com's Answer #140042 by ankor@dixie-net.com(22740)\"\" \"About 
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Translate the following into a quadratic equation, and solve it:
\n" ); document.write( "The length of a rectangular garden is four times its width;
\n" ); document.write( "if the area of the garden is 196 square meters, what are its dimensions?
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\n" ); document.write( "See how easy this is:
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\n" ); document.write( "Let x = the garden width
\n" ); document.write( "and
\n" ); document.write( "4x = garden length
\n" ); document.write( "then
\n" ); document.write( "x(4x) = 4x^2 = garden area
\n" ); document.write( ":
\n" ); document.write( "Given the area as 196 sq/meters
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\n" ); document.write( "4x^2 = 196
\n" ); document.write( "4x^2 - 196 = 0; a quadratic equation, also the difference of squares, so we have:
\n" ); document.write( "(2x-14)(2x+14)
\n" ); document.write( "Positive solution:
\n" ); document.write( "2x = +14
\n" ); document.write( "x = \"14%2F2\"
\n" ); document.write( "x = 7 m is the width
\n" ); document.write( "and
\n" ); document.write( "4(7) = 28 m is length
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\n" ); document.write( "Check: 7 * 28 = 196 \n" ); document.write( "
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