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

1 answer:

7 0

$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
$

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