document.write( "Question 718027: Find the dimension of a rectangle. The area is 238cm^ and the perimeter is 62cm? \n" ); document.write( "
Algebra.Com's Answer #440688 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! 2x + 2y = 62 {perimeter is 2 times width + 2 times length} \n" ); document.write( "xy = 238 {area is width times length}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 31 {divided each side of top equation by 2} \n" ); document.write( "x = -y + 31 {subtracted y from each side}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y(-y + 31) = 238 {substituted -y + 31, in for x, into x(y) = 238} \n" ); document.write( "-y² + 31y = 238 {used distributive property} \n" ); document.write( "y² - 31y + 238 = 0 {added y² and subtracted 31y from each side} \n" ); document.write( "(y - 17)(y - 14) = 0 {factored into two binomials} \n" ); document.write( "y - 17 = 0 or y - 14 = 0 {set each factor equal to 0} \n" ); document.write( "y = 17 or y = 14 {solved each equation for x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width is 14 cm and length is 17 cm \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |