Question

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

Answer 1

`w-width\\l-length\\\\2w+2l=50\to w+l=25\\w=(2)/(3)l\\\\substitute:\\\\(2)/(3)l+l=25\\\\(5)/(3)l=25\ \ \ \ /\cdot(3)/(5)\\\\l=15\ (m)\\\\w=(2)/(3)\cdot15=10\ (m)\\\\Area:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)`