document.write( "Question 452530: The perimeter of a rectangle is 70m. The length is 5m more than twice the width. Find the dimensions.
\n" ); document.write( "What is the length and what is the width? \n" ); document.write( "

Algebra.Com's Answer #311070 by pedjajov(51) $\"\"$ $\"About$

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Rectangle has two sides, width=w and length=l.
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\n" ); document.write( "Its perimeter is $\"P=2%28w%2Bl%29\"$
\n" ); document.write( "Its area is $\"A=wl\"$
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\n" ); document.write( "Perimeter is 70:
\n" ); document.write( " $\"2%28w%2Bl%29=70\"$
\n" ); document.write( " $\"w%2Bl=35\"$
\n" ); document.write( " $\"w=35-l\"$
\n" ); document.write( ":
\n" ); document.write( "The length is 5m more than twice the width:
\n" ); document.write( " $\"l=2w%2B5\"$
\n" ); document.write( ":
\n" ); document.write( "Substitute w from first equation into the second:
\n" ); document.write( " $\"l=2%2835-l%29%2B5\"$
\n" ); document.write( " $\"l=70-2l%2B5\"$
\n" ); document.write( " $\"3l=75\"$
\n" ); document.write( " $\"l=75%2F3\"$
\n" ); document.write( " $\"l=25\"$ , this is length
\n" ); document.write( ":
\n" ); document.write( " $\"w=35-l\"$
\n" ); document.write( " $\"w=35-25\"$
\n" ); document.write( " $\"w=10\"$ , this is width \n" ); document.write( "

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