document.write( "Question 893340: A rectangle is twice as long as it is wide. What is the perimeter if its area is 32 cm2?
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Algebra.Com's Answer #541207 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = width \n" ); document.write( "2x = length {it is twice as long as it is wide}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of a rectangle = width x length\r \n" ); document.write( "\n" ); document.write( "x(2x) = 32 {substituted width and length into area formula} \n" ); document.write( "2x² = 32 {multiplied} \n" ); document.write( "x² = 16 {divided each side by 2} \n" ); document.write( "x = 4 {took square root of each side} \n" ); document.write( "2x = 8 {substituted 4, in for x, into 2x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 4 cm \n" ); document.write( "length = 8 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle = 2(width) + 2(length) \n" ); document.write( "= 2(4) + 2(8) {substituted 4 for width and 8 for length} \n" ); document.write( "= 8 + 16 {multiplied} \n" ); document.write( "= 24 {added}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter = 24 cm \n" ); document.write( " For more help from me, visit: www.algebrahouse.com Also, you can Follow @AlgebraHouse on Twitter \n" ); document.write( " |