Question 93266
Find an expression that represents its perimeter. (2x+1)/(5) Length (4)/(3x+1) Width
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We know that perimeter = 2L + 2W, therefore we have:
{{{2((2x+1)/(5))}}}  +  {{{2((4)/(3x+1))}}}
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Multiplying what's inside the brackets: 
{{{((4x+2))/(5)}}}  +  {{{(8)/((3x+1))}}}
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Arrange over a single common denominator and we have:
{{{((3x+1)(4x+2) + 5(8))/(5(3x+1))}}} =  {{{((12x^2 + 10x +2) + 40)/(5(3x+1))}}} =  {{{(12x^2 + 10x + 42)/(5(3x+1))}}} = {{{2(6x^2 + 5x + 21)/(5(3x+1))}}}
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That's about all you can do with it:
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Could you follow what we did here? Any questions?