SOLUTION: I'm having trouble with a word problem. A rectangular family room is twice as long as it is wide, and its area is 98 square feet. Find the dimensions of the family room.

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Question 545982: I'm having trouble with a word problem.
A rectangular family room is twice as long as it is wide, and its area is 98 square feet. Find the dimensions of the family room.

Found 2 solutions by stanbon, JBarnum:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular family room is twice as long as it is wide, and its area is 98 square feet. Find the dimensions of the family room.
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Let width be "x".
Then length is "2x".
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Equation:
x*(2x) = 98
2x^2 = 98
x^2 = 49
x = 7 ft. (width)
2x = 14 ft. (lenght)
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Cheers,
Stan H.
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Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
L%2AW=A formula
A=98 area given
L=2W length given
2W%2AW=98 substitution
2W%5E2=98solve for W
W%5E2=49 take sqrt
highlight%28W=7%29
L=2%287%29
highlight%28L=14%29
check
7%2A14=98
98=98
correct