Question 70282: A room is 1.5 times long as it is wide and its perimeter is 25 meters. find the dimension of the room? Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! 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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This simplifies to:
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The problem gives the perimeter as 25 meters. Substitute this:
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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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Substitute this in place of L in the perimeter equation:
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Multiply out the first term on the right side:
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and combine the two terms on the right side to get:
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Divide both sides by 5 and you find that
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And since the length is 1.5 times as long, the length is:
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Check it.
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The answer checks.
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Hope this helps you to understand the problem.
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