document.write( "Question 197302: The length of a rectangle is 2 more than three times the width. If the perimeter is 92 cm, find the dimensions of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #147939 by anantha(86) $\"\"$ $\"About$

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sol:
\n" ); document.write( "let the width be x
\n" ); document.write( "three times the fwidth=3x
\n" ); document.write( "length=2 more than 3 times the width
\n" ); document.write( "length=2+3x
\n" ); document.write( "perimeter of the rectangle=2(length+width)
\n" ); document.write( " =2(2+3x+x)
\n" ); document.write( " =2(2+4x)
\n" ); document.write( " =2*2+2*4x
\n" ); document.write( " =4+8x
\n" ); document.write( "according to the problem perimeter of the rectangle=92cm
\n" ); document.write( " 4+8x=92
\n" ); document.write( "subtract 4 on both sides
\n" ); document.write( "4+8x-4=92-4
\n" ); document.write( "8x=88
\n" ); document.write( "dividing by 8 on both sides
\n" ); document.write( "8x/8=88/8
\n" ); document.write( "x=11cm
\n" ); document.write( "width=11cm
\n" ); document.write( "length=2+3x
\n" ); document.write( " =2+3*11
\n" ); document.write( " =2+33
\n" ); document.write( " =35
\n" ); document.write( "length=35cm \n" ); document.write( "

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