document.write( "Question 1002808: What are the dimension of the first rectangle? if in a certain rectangle,the sum of the length and the width is 14 (measured in cm). A second rectangle is 5 times as look as the first, and 3 times as wide. The perimeter of the second rectangle is 91 \n" ); document.write( "
Algebra.Com's Answer #619674 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What are the dimensions of the first rectangle? if in a certain rectangle,the sum of the length and the width is 14 (measured in cm). \n" ); document.write( "length = x \n" ); document.write( "width = 14-x \n" ); document.write( "----------------------------- \n" ); document.write( "A second rectangle is 5 times as long as the first, and 3 times as wide. \n" ); document.write( "length = 5x \n" ); document.write( "width = 3(14-x) = 42-3x \n" ); document.write( "--------------------------------- \n" ); document.write( "The perimeter of the second rectangle is 91 \n" ); document.write( "2[5x + 42-3x] = 91 \n" ); document.write( "------ \n" ); document.write( "2[2x+42] = 91 \n" ); document.write( "---- \n" ); document.write( "4x + 84 = 91 \n" ); document.write( "4x = 7 \n" ); document.write( "x = 7/4 (length of the 1st rectangle) \n" ); document.write( "14-x = 14-(7/4) = 12 1/4 (width of the 1st rectangle) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( "---- \n" ); document.write( " |