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djyliett [7]
3 years ago
11

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0
Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

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\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
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k=constant\ of\\
\qquad  variation
\end{array}\\\\
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\textit{we also know that }
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x=3
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\\\\\\
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