document.write( "Question 577805: how do you set up the word problem... \"The perimeter of a rectangle is 48 cm. One side is four fifths the length of the other side. Find the dimensions of the rectangle\" \n" ); document.write( "
Algebra.Com's Answer #370317 by dfrazzetto(283)\"\" \"About 
You can put this solution on YOUR website!
Well we know a rectangle has a length (L) and width (W), so the perimeter is just the two lengths plus the 2 widths so:\r
\n" ); document.write( "\n" ); document.write( "Perimeter = 2L + 2W = 48 cm\r
\n" ); document.write( "\n" ); document.write( "One side (let's use width, W, is 4/5 the length of the other side (L), so:\r
\n" ); document.write( "\n" ); document.write( "W= (4/5)*L= 4L/5\r
\n" ); document.write( "\n" ); document.write( "Plugging back into our original equation and solving for L (substituting 4L/5 for W):\r
\n" ); document.write( "\n" ); document.write( "P = 2L + 2(4L/5) = 48\r
\n" ); document.write( "\n" ); document.write( "2L + 8L/5 = 48
\n" ); document.write( "10L/5 + 8L/5 = 48
\n" ); document.write( "18L/5=48
\n" ); document.write( "18L = 48*5
\n" ); document.write( "18L = 240
\n" ); document.write( "L= 13 1/3 cm\r
\n" ); document.write( "\n" ); document.write( "W= 4L/5 = 4(13 1/3)/5 = 10 2/3 cm\r
\n" ); document.write( "\n" ); document.write( "So, Dimensions of rectangle are L x W = 13 1/3 cm x 10 2/3 cm\r
\n" ); document.write( "\n" ); document.write( "To check:\r
\n" ); document.write( "\n" ); document.write( "P = 2L + 2W = 2(L+W) = 2(13 1/3 + 10 2/3) = 2(24) = 48, ANSWER IS CORRECT\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );