Question

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

Answer 1

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