A 70-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find the length and the width.

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16-02-2015
Mathematics

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A 70-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find the length and the width.

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Luanaidn Luanaidn · Answer 1 · 2015-02-17T04:37:28-05:00

Luanaidn Luanaidn

17-02-2015

[tex]width=\frac{2}{3}length\\\\ 70=2width+2length\\\\ 70=2length+2(\frac{2}{3}length)\\\\ 70=2length+\frac{4}{3}length\\\\ 70=\frac{10}{3}length\ \ | divide\ by\ \frac{10}{3}\\\\ 70*\frac{3}{10}=length\\\\ length=21m\\\\ width=\frac{2}{3}*21=14m [/tex]

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