document.write( "Question 1173769: The width and the length of a rectangle are both prime numbers. What is its maximum area when its perimeter is 40 cm? \n" ); document.write( "
Algebra.Com's Answer #799076 by ikleyn(52915) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let p and q be that prime integer numbers that are the length and the width, respectively.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then you have \r\n" ); document.write( "\r\n" ); document.write( " p + q = 40/2 = 20,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and (OBVIOUSLY) you should select these prime numbers p and q as close to their mean value of 10 as possible.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Just the first trial 13 and 7 leads you to the success and to the dimensions p= 13, q= 7 centimeters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The area of the rectangle is 13*7 = 91 cm^2.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'd say that everything is simple in this problem, and there is nothing extraordinary interesting . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |