document.write( "Question 1059553: Length of a rectangle is x-3 and width is 5x+4.
\n" ); document.write( "The perimeter of this rectangle is 74cm. Write down an equation for the perimeter.
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Algebra.Com's Answer #674586 by math_helper(2461)\"\" \"About 
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Perimeter of a rectangle is width+length+width+length (imagine walking around the rectangle, you will see the width twice & length twice), or more simply: Perimeter = 2(width)+ 2(length) = 2(width+length).\r
\n" ); document.write( "\n" ); document.write( "Length is given as x-3
\n" ); document.write( "Width is given as 5x+4\r
\n" ); document.write( "\n" ); document.write( "We were given perimeter = 74cm:\r
\n" ); document.write( "\n" ); document.write( " \"+2+%28%28x-3%29%2B%285x%2B4%29%29+=+74+\"
\n" ); document.write( " \"+2x-6%2B10x%2B8+=+74+\"
\n" ); document.write( " \"+12x%2B2+=+74+\"
\n" ); document.write( " \"+12x-72+=+0+\"
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\n" ); document.write( "Answer:
\n" ); document.write( " \"+12x-72+=+0+\"
\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "We could solve for x above (x=6), but it is not clear what x represents.
\n" ); document.write( "Let's check the answer using x=6: length=6-3 = 3, width = 5*6+4 = 34
\n" ); document.write( " 2*(3+34) = 2*(37) = 74 so at least we have the correct relationship.
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\n" ); document.write( "The question was to provide an equation for the perimeter. Technically, the answer could've been given as P(x) = 2[(x-3) +(5x+4)] ... simplified to P(x) = 12x+2 as that is actually more of an expression of the perimeter as a function of x. In this case, the information that the perimeter=74 is superfluous.
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