document.write( "Question 580433: Please help me!
\n" );
document.write( "The perimeter of rectangle is 96cm. Find the dimensions of the rectangle if the ratio of the length to the width is 7:5. \n" );
document.write( "
Algebra.Com's Answer #371245 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \"the ratio of the length to the width is 7:5\" means that the length is 7x and the width is 5x for some unknown value of x. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So L = 7x and W = 5x. Also, we know that the perimeter is 96 cm, so P = 96. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now use the perimeter formula to solve for x\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2L + 2W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "96 = 2(7x) + 2(5x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "96 = 14x + 10x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "96 = 24x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "96/24 = 24x/24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the value of x is x = 4. This means that the length is 7x = 7*4 = 28 and the width is 5x = 5*4 = 20\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So in short, the length is 28 cm and the width is 20 cm \n" ); document.write( " |