document.write( "Question 1186303: the length of the garden should be 2 less than 3 times the width. The area should be 16 cm. Find the dimensions & perimeter of the garden.​ \n" ); document.write( "
Algebra.Com's Answer #817192 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "x = width
\n" ); document.write( "3x-2=length

\n" ); document.write( "The area (length times width) is 16:

\n" ); document.write( "x(3x-2)=16
\n" ); document.write( "3x^2-2x=16
\n" ); document.write( "3x^2-2x-16=0
\n" ); document.write( "(3x-8)(x+2)=0

\n" ); document.write( "x=8/3 or x=-2

\n" ); document.write( "Reject the negative solution, since it makes no sense for the actual problem.

\n" ); document.write( "ANSWERS:
\n" ); document.write( "width = x = 8/3
\n" ); document.write( "length = 3x-2 = 8-2=6
\n" ); document.write( "area = (8/3)(6) = 16
\n" ); document.write( "perimeter = twice width plus twice length = 2(8/3)+2(6) = 16/3+12 = 52/3 or 17 1/3

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