document.write( "Question 402218: a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #284540 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"a rectangle has an area of 432 square inches. The width of the rectangle is 3/4 times its length. find the dimensions of the rectangle.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = length \n" ); document.write( "3/4(x) = width\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x[3/4(x)] = 432 {area = length x width} \n" ); document.write( "3/4(x^2) = 432 {multiplied, add exponents when multiplying} \n" ); document.write( "x^2 = 576 {divided both sides by 3/4, multiplied by reciprocal} \n" ); document.write( "x = 24 in. length {took square root of both sides} \n" ); document.write( "3/4x = 18 in. width {substituted 24 for x, into 3/4x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 in x 24 in are the dimensions of the rectangle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |