document.write( "Question 178025This question is from textbook Geometry
\n" ); document.write( ": I am not sure how to do this type of problem :( The perimeter of a rectangle is 84 ft. the ratio of the width to the length is 2:5. Find the length and the width \n" ); document.write( "

Algebra.Com's Answer #132985 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = perimeter
\n" ); document.write( "Let $\"w\"$ = width
\n" ); document.write( "Let $\"l\"$ = length
\n" ); document.write( " $\"p+=+2w+%2B+2l\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"p+=+84\"$ ft
\n" ); document.write( " $\"w%2Fl+=+2%2F5\"$
\n" ); document.write( "multiply both sides by $\"5%2Al\"$
\n" ); document.write( " $\"5w+=+2l\"$
\n" ); document.write( " $\"w+=+%282%2F5%29%2Al\"$
\n" ); document.write( " $\"p+=+2%2A%282%2F5%29%2Al+%2B+2l\"$
\n" ); document.write( " $\"84+=+%284%2F5%29%2Al+%2B+2l\"$
\n" ); document.write( "Multiply both sides by $\"5\"$
\n" ); document.write( " $\"420+=+4l+%2B+10l\"$
\n" ); document.write( " $\"14l+=+420\"$
\n" ); document.write( " $\"l+=+30\"$
\n" ); document.write( " $\"w+=+%282%2F5%29%2Al\"$
\n" ); document.write( " $\"w+=+%282%2F5%29%2A30\"$
\n" ); document.write( " $\"w+=+12\"$
\n" ); document.write( "The length is 30 ft and the width is 12 ft
\n" ); document.write( "check:
\n" ); document.write( " $\"p+=+2w+%2B+2l\"$
\n" ); document.write( " $\"p+=+2%2A12+%2B+2%2A30\"$
\n" ); document.write( " $\"p+=+24+%2B+60\"$
\n" ); document.write( " $\"p+=+84\"$
\n" ); document.write( "OK \n" ); document.write( "

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