document.write( "Question 1053836: One half area of a rectangular garden is 54m . If the triple of the width exceeds twice the length by 3 meter , Find the perimeter \n" ); document.write( "
Algebra.Com's Answer #669064 by ankor@dixie-net.com(22740)\"\" \"About 
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One half area of a rectangular garden is 54m .triple of
\n" ); document.write( "Then the total area = 108 sq/m
\n" ); document.write( "L * w = 108
\n" ); document.write( "L = \"108%2Fw\"
\n" ); document.write( " If triple the width exceeds twice the length by 3 meter,
\n" ); document.write( "3w = 2L + 3
\n" ); document.write( "replace L with \"108%2Fw\"
\n" ); document.write( "3w = 2(\"108%2Fw\") + 3
\n" ); document.write( "3w = \"216%2Fw\" + 3
\n" ); document.write( "multiply equation by w
\n" ); document.write( "3w^2 = 216 + 3w
\n" ); document.write( "A quadratic equation
\n" ); document.write( "3w^2 - 3w - 216 = 0
\n" ); document.write( "simplify, divide by 3
\n" ); document.write( "w^2 - w - 72 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(w-9)(w+8) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "w = 9 m is the width
\n" ); document.write( "Find L
\n" ); document.write( "L = 108/9
\n" ); document.write( "L = 12 m is the length
\n" ); document.write( ":
\n" ); document.write( "\"Find the perimeter
\n" ); document.write( "P = 2(12) + 2(9)
\n" ); document.write( "p = 42 m is the perimeter
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\n" ); document.write( "Check our solutions in the statement
\n" ); document.write( "\"If triple the width exceeds twice the length by 3 meters\"
\n" ); document.write( "3(9) = 2(12) + 3\r
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