document.write( "Question 480848: The length of a rectangular garden is 12 m more than its breadth . The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #329273 by mathstutor494(120)\"\" \"About 
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Let width of a rectangular garden be \"x\" m\r
\n" ); document.write( "\n" ); document.write( "Therefore length of a rectangular garden : x+12 m\r
\n" ); document.write( "\n" ); document.write( "Area of the garden : x*(x+12)...................(1)\r
\n" ); document.write( "\n" ); document.write( "Perimeter of the garden = 2*(Length+width)
\n" ); document.write( "2*(x+x+12)
\n" ); document.write( "4x+24............................................(2)\r
\n" ); document.write( "\n" ); document.write( "Further numerical value of its area is equal to 4 times the numerical value of its perimeter, therefore equating (1) with 4 times of (2)results in
\n" ); document.write( "x*(x+12) = 4*(4x+24)
\n" ); document.write( "x^2+12x = 16x+96
\n" ); document.write( "x^2+12x-16x-96=0
\n" ); document.write( "x^2-4x-96=0
\n" ); document.write( "x^2-12x+8x-96=0
\n" ); document.write( "x(x-12)+8(x-12)=0
\n" ); document.write( "(x+8)(x-12)=0
\n" ); document.write( "So x=12 or -8\r
\n" ); document.write( "\n" ); document.write( "Ans :
\n" ); document.write( "Width 12m, Lenth 24m\r
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