document.write( "Question 255501: The perimeter of a rectangle is 32 cm. The base is 2 less than two times the height. What is the area? \n" ); document.write( "

Algebra.Com's Answer #187759 by palanisamy(496) $\"\"$ $\"About$

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Let the width of the rectangle be x.
\n" ); document.write( "Then its length = 2x-2
\n" ); document.write( "Then perimeter is 2(x+2x-2) = 32
\n" ); document.write( " (3x-2) = 32/2
\n" ); document.write( " 3x = 16+2
\n" ); document.write( " 3x = 18
\n" ); document.write( " x = 18/3
\n" ); document.write( " x = 6 cms
\n" ); document.write( "Therefore area of the rectangle= x(2x-2)
\n" ); document.write( " =2x^2-2x
\n" ); document.write( " = 2(6)^2-2*6
\n" ); document.write( " = 2*36-12
\n" ); document.write( " = 72-12
\n" ); document.write( " =60 sq.cms \n" ); document.write( "

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