document.write( "Question 99687: the length of a room is two and half time its width. if the perimeter of the floor of the room is 70m find the length & width of the room. \n" ); document.write( "

Algebra.Com's Answer #72551 by doukungfoo(195) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ok first thing:
\n" ); document.write( "the perimeter of a rectangle is equal to the sum of all its sides.
\n" ); document.write( "this can be expressed as 2 times the length plus 2 times the width.
\n" ); document.write( "lets called the width x
\n" ); document.write( "Given: the length of a room is two and half times its width.
\n" ); document.write( "so the length equals $\"%282%261%2F2%29x\"$
\n" ); document.write( "Given: perimeter equals 70 meters
\n" ); document.write( "Now we have everything we need to write a formula to solve for x (width)
\n" ); document.write( " $\"2%28length%29%2B2%28width%29=70\"$
\n" ); document.write( " $\"2%28%282%261%2F2%29x%29%2B2%28x%29=70\"$
\n" ); document.write( " $\"5x%2B2x=70\"$
\n" ); document.write( " $\"7x=70\"$
\n" ); document.write( " $\"x=10\"$
\n" ); document.write( "So the width = 10 meters
\n" ); document.write( "To find length use
\n" ); document.write( " $\"2%261%2F2%28x%29=length\"$
\n" ); document.write( " $\"2%261%2F2%2810%29=length\"$
\n" ); document.write( " $\"25=length\"$
\n" ); document.write( "So the length = 25 meters
\n" ); document.write( "To check use the original formula
\n" ); document.write( " $\"2%28length%29%2B2%28width%29=70\"$
\n" ); document.write( " $\"2%2825%29%2B2%2810%29=70\"$
\n" ); document.write( " $\"50%2B20=70\"$
\n" ); document.write( " $\"70=70\"$
\n" ); document.write( "that is it
\n" ); document.write( " \n" ); document.write( "

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