document.write( "Question 174953: The area of a rectangle is the product of its length and width , and equals 1062.If the length is 5 more than three times the width ,find the width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #130044 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement
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\n" ); document.write( "The area of a rectangle is the product of its length and width, and equals 1062.
\n" ); document.write( "L * W = 1062
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\n" ); document.write( "the length is 5 more than three times the width,
\n" ); document.write( "L = 3W + 5
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\n" ); document.write( "find the width of the rectangle.
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\n" ); document.write( "Replace L with (3W+5) in the 1st equation:
\n" ); document.write( "(3W+5) * W = 1062
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\n" ); document.write( "3W^2 + 5W = 1062
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\n" ); document.write( "3W^2 + 5W - 1062 = 0; our old friend the quadratic equation!
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\n" ); document.write( "You can use the quadratic formula, however, this will factors to:
\n" ); document.write( "(3W-54)(W+59) = 0
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\n" ); document.write( "The positive solution:
\n" ); document.write( "3W = +54
\n" ); document.write( "W = 54/3
\n" ); document.write( "W = 18 is the width
\n" ); document.write( "Find the length
\n" ); document.write( "3(18) + 5 = 59 is the length
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\n" ); document.write( "Check solutions:
\n" ); document.write( "59 * 18 = 1062
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