SOLUTION: a rectangle with a perimeter of 102 inches is half as wide as it is long determine the length of this rectangle in inches

Question 620108: a rectangle with a perimeter of 102 inches is half as wide as it is long determine the length of this rectangle in inches
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
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STEP I: Choose variables
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Let W be the width of the rectangle.
Let L be the length.
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STEP II: Write equations to model the situation.
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The formula for the perimeter of a rectangle is P = 2W+2L, so

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In algebra, "half as wide as it is long" can be written as

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Note: It's easy to confuse the words with the algebra. Once you have your equation test it with a few values. For example, "3 is half as wide as 6, and 3=(1/2)*6.
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STEP III: Solve your system of equations.
Substitute(1/2)*L for W in the first equation.

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Simplify.

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The length of the rectangle is 34 inches.
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STEP IV: Check your work.
Since the rectangle is half as wide as it is long, the width must be 17. Thus the perimeter is 2(17)+2(34)=34+68=102. Check!
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Hope this helps. Feel free to email if you still have questions about this.
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Ms.Figgy
math.in.the.vortex@gmail.com
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