document.write( "Question 1052376: The numerical values of the three sides of a triangle are given by three consecutive even integers. If the perimeter is greater than 30 inches, what are the possibilities for the shortest side?
\n" );
document.write( "The length of a rectangle is 4 times the width. If the perimeter is to be greater than or equal to 170 meters. What are the possible values for the width?
\n" );
document.write( "Please help me :( \n" );
document.write( "
Algebra.Com's Answer #667789 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The numerical values of the three sides of a triangle are given by three consecutive even integers. If the perimeter is greater than 30 inches, what are the possibilities for the shortest side? \n" ); document.write( ": \n" ); document.write( "let s = the shortest side \n" ); document.write( "then \n" ); document.write( "(s+2) = the next even integer \n" ); document.write( "and \n" ); document.write( "(x+4) = the one after that \n" ); document.write( ": \n" ); document.write( "x + (x+2) + (x+4) > 30 \n" ); document.write( "3x + 6 > 30 \n" ); document.write( "3x > 30 - 6 \n" ); document.write( "3x > 24 \n" ); document.write( "x > 24/3 \n" ); document.write( "x > 8 \n" ); document.write( "next even integer = 10 is one shortest side possibility \n" ); document.write( ": \n" ); document.write( "10 + 12 + 14 = 36 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "The length of a rectangle is 4 times the width. \n" ); document.write( " If the perimeter is to be greater than or equal to 170 meters. \n" ); document.write( "What are the possible values for the width? \n" ); document.write( "Let w - the width \n" ); document.write( "then \n" ); document.write( "(w+4) = the length \n" ); document.write( "2(w+4) + 2w >= 170 \n" ); document.write( "simplify, divide equation by 2 \n" ); document.write( "w + 4 + w >= 85 \n" ); document.write( "2w >= 85 - 4 \n" ); document.write( "2w >= 81 \n" ); document.write( "w >= 81/2 \n" ); document.write( "w >= 40.5 are the possible widths \n" ); document.write( " \n" ); document.write( " |