Question 70282
Two equations are required.

You know that the perimeter of a rectangle is given by adding a length, a width, another length, 
and another width to get the perimeter.

Let L represent the Length, W represent the Width, and P represent the Perimeter of the 
rectangle.  With this notation, the equation for the perimeter of the rectangle is:
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{{{P = L + W + L + W}}}
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This simplifies to:
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{{{P = 2*L + 2*W}}}
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The problem gives the perimeter as 25 meters.  Substitute this:
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{{{25 = 2*L + 2*W}}}
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The problem also says that the length is 1.5 times the width.  In equation form, this is:
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{{{L = 1.5*W}}}
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Substitute this in place of L in the perimeter equation:
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{{{25 = 2*1.5*W + 2*W}}}
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Multiply out the first term on the right side:
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{{{25 = 3*W + 2*W}}}
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and combine the two terms on the right side to get:
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{{{25 = 5*W}}}
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Divide both sides by 5 and you find that 
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{{{W = 5 meters}}}
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And since the length is 1.5 times as long, the length is:
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{{{L = 1.5*5 = 7.5 meters}}}
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Check it.  

{{{P = 7.5 + 5 + 7.5 + 5 = 25 meters}}}
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The answer checks.
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Hope this helps you to understand the problem.