document.write( "Question 1063302: The perimeter of a rectangle is 146 inches. The length is 7 inches shorter than three\r
\n" ); document.write( "\n" ); document.write( "times the width. Find the length. \n" ); document.write( "

Algebra.Com's Answer #678383 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The perimeter of a rectangle is 146 inches. The length is 7 inches shorter than three times the width. Find the length.
\n" ); document.write( "

Let length be L and width, W
\n" );
document.write( "Then: 2(L + W) = 146______2(L + W) = 2(73)_____L + W = 73______W = 73 - L ------ eq (i)
\n" );
document.write( "Also, L = 3W - 7 ------- eq (ii)
\n" );
document.write( "L = 3(73 - L) - 7 ------ Substituting 73 - L for W in eq (ii)
\n" );
document.write( "L = 219 - 3L - 7
\n" );
document.write( "L + 3L = 219 - 7
\n" );
document.write( "4L = 212
\n" );
document.write( "L, or length =  \n" );
document.write( "

\n" );