document.write( "Question 4880: The perimeter of a rectangle is 160 ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #2391 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! Let length = x \n" ); document.write( "Length width = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we know that x+x+y+y=160 --> 2x+2y=160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, x/4 = 2y --> x = 8y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Put this second equation into the first, to give 2(8y) + 2y = 160 \n" ); document.write( "16y+2y = 160 \n" ); document.write( "18y = 160 \n" ); document.write( "y = 80/9 \n" ); document.write( "y = 8.89 ft (to 2dp)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--> as x = 8y, we get x = 71.11 (to 2dp)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: add 2 lots of each length --> do you get 160?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |