document.write( "Question 401239: The width of a rectangular playground is 2x-5 feet, and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet. \n" ); document.write( "
Algebra.Com's Answer #283966 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The width of a rectangular playground is 2x-5 feet, and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x - 5 = width \n" ); document.write( "3x + 9 = length\r \n" ); document.write( "\n" ); document.write( "P = 2(2x - 5) + 2(3x + 9) {perimeter of a rectangle = 2(width + 2(length)} \n" ); document.write( "P = 4x - 10 + 6x + 18 {used distributive property} \n" ); document.write( "P = 10x + 8 {combined like terms}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = 4 \n" ); document.write( "10x + 8 \n" ); document.write( "= 10(4) + 8 {substituted 4 in for x} \n" ); document.write( "= 40 + 8 {multiplied 10 by 4} \n" ); document.write( "= 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |