SOLUTION: A rectangular stage is being built next to a smaller square stage. The length of the rectangular main stage is three times the side length of the square stage. The width of the rec

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Question 715563: A rectangular stage is being built next to a smaller square stage. The length of the rectangular main stage is three times the side length of the square stage. The width of the rectangular stage is twice the square stage's side length.
How can I write "r(x)", a function for the area of the main rectangular stage?
How can I write "b(x)", a function for the total area of both stages?
I know that the smaller stage's area would be x^2 and that this could help me write a function for the other one. But how?
Thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular stage is being built next to a smaller square stage. The length of the rectangular main stage is three times the side length of the square stage. The width of the rectangular stage is twice the square stage's side length.
Assume the area of the smaller stage is x^2.
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How can I write "r(x)", a function for the area of the main rectangular stage?
r(x) = (3x)(2x) = 6x^2
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How can I write "b(x)", a function for the total area of both stages?
b(x) = 6x^2 + x^2 = 7x^2
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Cheers,
Stan H.