document.write( "Question 744996: The length of a rectangle is 1cm. more than twice its height. If the area of the rectangle is 351 sq cm, what is the perimeter of the rectangle?\r
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document.write( "I already tried to solve using these
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document.write( "L=2h+1
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document.write( " I got H=-1/3
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document.write( "P=2l+2h\r
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document.write( "I don't know what to do from there...? \n" );
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Algebra.Com's Answer #453655 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = height \n" ); document.write( "2x + 1 = length {length is 1 more than twice its height}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of a rectangle is length x height\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(2x + 1) = 351 {multiplied length x height and set equal to area, 351} \n" ); document.write( "2x² + x = 351 \n" ); document.write( "2x² + x - 351 = 0 \n" ); document.write( "2x² - 26x + 27x - 351 = 0 {split x into -26x and 27x} \n" ); document.write( "2x(x - 13) + 27(x - 13) = 0 {factored 2x out of 1st two terms and 27 out of last two terms - factoring by grouping} \n" ); document.write( "(2x + 27)(x - 13) = 0 {factored (x - 13) out of the two terms} \n" ); document.write( "2x + 27 = 0 or x - 13 = 0 {set each factor equal to 0} \n" ); document.write( "2x = -27 or x = 13 {subtracted 27 in 1st and added 13 in 2nd} \n" ); document.write( "x = -13.5 or x = 13 {solved each equation for x} \n" ); document.write( "x = 13 {height of a rectangle cannot be negative} \n" ); document.write( "2x + 1 = 27 {substituted 13, in for x, into 2x + 1}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "height is 13 cm and length is 27 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle is 2(height) + 2(length) \n" ); document.write( "P = 2(13) + 2(27) {substituted 13 for height and 27 for length, into perimeter formula} \n" ); document.write( "= 26 + 54 {multiplied} \n" ); document.write( "= 80 {added}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of rectangle is 81 cm \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |