document.write( "Question 799397: The perimeter of a rectangle is 46 meters. Twice the length is 4 more than five times the width. Find the demensions of the rectangle \n" ); document.write( "

Algebra.Com's Answer #482649 by DrBeeee(684) $\"\"$ $\"About$

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Let w = the width of the rectangle
\n" ); document.write( "Let l = the length of the rectangle
\n" ); document.write( "The formula for the perimeter is
\n" ); document.write( "(1) p = 2l + 2w
\n" ); document.write( "We are given;
\n" ); document.write( "(2) p = 46 and
\n" ); document.write( "(3) 2l = 5w + 4
\n" ); document.write( "The perimeter is given by
\n" ); document.write( "(4) 2l + 2w = 46
\n" ); document.write( "Now put 2l given by (3) into (4) to get
\n" ); document.write( "(5) 5w + 4 + 2w = 46 or
\n" ); document.write( "(6) 7w = 46 - 4 or
\n" ); document.write( "(7) 7w = 42 or
\n" ); document.write( "(8) w = 6
\n" ); document.write( "Now use (3) to find l
\n" ); document.write( "(9) 2l = 5*6 + 4 or
\n" ); document.write( "(10) 2l = 34 or
\n" ); document.write( "(11) l = 17
\n" ); document.write( "Always check your answer. We can do this with (1).
\n" ); document.write( "Is (2*17 + 2*6 = 46)?
\n" ); document.write( "Is (34 + 12 = 46)?
\n" ); document.write( "Is (46 = 46)? Yes
\n" ); document.write( "Answer: The dimensions of the rectangle are 17m and 6m.
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