document.write( "Question 866589: The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle is 50 cm. Find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #522370 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
w=width
\n" ); document.write( "L=length
\n" ); document.write( "Formula for perimeter, p=2(w+L)
\n" ); document.write( "Given: \"L=w%2B5\"
\n" ); document.write( "p=50\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%28w%2BL%29=p\"
\n" ); document.write( "\"w%2BL=p%2F2\"
\n" ); document.write( "\"L=p%2F2-w\"
\n" ); document.write( "Substitute,
\n" ); document.write( "\"w%2B5=p%2F2-w\"
\n" ); document.write( "\"w%2Bw=p%2F2-5\"
\n" ); document.write( "\"2w=p%2F2-5\"
\n" ); document.write( "\"w=%28p%2F2-5%29%2F2\"
\n" ); document.write( "\"highlight_green%28w=p%2F4-5%2F2%29\"
\n" ); document.write( "Actual correct steps can vary some, but w, if in symbolic form must be equivalent to the green-outlined formula shown. Just substitute for the given p value of 50, and compute w.
\n" ); document.write( "-
\n" ); document.write( "You could do all this without being in pure symbolic form - it's up to you; but it depends on how many of this general type of rectangle exercise you have. This is a very frequent type of exercise problem and generalizing its solution can be more efficient if you have many of these.
\n" ); document.write( "
\n" );