SOLUTION: the length (L) of rectangles of fixed areas varies inversely as the width (W). Suppose the length is 25 cm when the width is 10 cm. Find the length when the width is 6cm.

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Question 877621: the length (L) of rectangles of fixed areas varies inversely as the width (W). Suppose the length is 25 cm when the width is 10 cm. Find the length when the width is 6cm.
Answer by josgarithmetic(39625) About Me  (Show Source):
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You this should mean, that area A is a constant, and wL=A; and that L=k%2Fw with k being another constant.

Using the variation equation, k=wL, which is the same as A. Our area was understood to be a constant. I will continue using A and not k.

L=25 when w=10.
A=25%2A10
A=250, the constant area in this example.

The variation equation can be stated as highlight%28L=250%2Fw%29.