SOLUTION: The length of a rectangle is twice the width. If the diagonal of the rectangle measures √30 inches, what is the area of the rectangle? My answer is 12 inches squared, but

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is twice the width. If the diagonal of the rectangle measures √30 inches, what is the area of the rectangle? My answer is 12 inches squared, but      Log On


   

Question 1025901: The length of a rectangle is twice the width. If the diagonal of the rectangle measures √30 inches, what is the area of the rectangle?
My answer is 12 inches squared, but my question is can I multiple a number by a radical like 2 times√6 .
Thank you
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=2W
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L%5E2%2BW%5E2=%28sqrt%2830%29%29%5E2
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%282W%29%5E2%2BW%5E2=30
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4W%5E2%2BW%5E2=30
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5W%5E2=30
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W%5E2=6
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W=sqrt%286%29
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L=2W=2%28sqrt%286%29%29
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A=LW=sqrt%286%292sqrt%286%29=2%286%29=12
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A=2sqrt%286%29sqrt%286%29=sqrt%286%29sqrt%286%29%2A2=sqrt%286%29%2A2%2Asqrt%286%29
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ANSWER: Multiplication is commutative: terms can be multiplied in any order.
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