document.write( "Question 57012: Can you please help me on the following problem: \"A rectangle whose perimeter is 200 is 4 times as long as it is wide. Find the dimensions and area.\" CAn you please help me. \n" ); document.write( "
Algebra.Com's Answer #38838 by rcmcc(152)![]() ![]() You can put this solution on YOUR website! You can solve this question by solving for X.\r \n" ); document.write( "\n" ); document.write( "Let X be the width of the rectangle.\r \n" ); document.write( "\n" ); document.write( "Since the length is 4 times greater than the width it can be stated as 4X\r \n" ); document.write( "\n" ); document.write( "Because we are calculating perimeter all the values must be multiplied by 2, as there are two identical sides. \r \n" ); document.write( "\n" ); document.write( "Now we can form a simple equation.\r \n" ); document.write( "\n" ); document.write( "(2)4X+(2)X=200\r \n" ); document.write( "\n" ); document.write( "Simplify the equation\r \n" ); document.write( "\n" ); document.write( "8X+2X=200\r \n" ); document.write( "\n" ); document.write( "10X=200\r \n" ); document.write( "\n" ); document.write( "divide 10 out to isolate x\r \n" ); document.write( "\n" ); document.write( "X=20\r \n" ); document.write( "\n" ); document.write( "Hence the width is 20 and the length is 80\r \n" ); document.write( "\n" ); document.write( "The area is LxW\r \n" ); document.write( "\n" ); document.write( "20X80=1600 \n" ); document.write( " |