Answer: l=50 m, w=20 m
Step-by-step explanation:
Given
A rectangular city has an area of [tex]1000\ m^2[/tex]
Also, length is 10 m more than twice its width
suppose width is w
So, length is given by
[tex]\Rightarrow l=10+2w[/tex]
The area is given by
[tex]\Rightarrow A=l\times w\\\Rightarrow 1000=(10+2w)\times w\\\Rightarrow 2w^2+10w-1000=0\\\Rightarrow w^2+5w-500=0\\\Rightarrow w^2+25w-20w-500=0\\\Rightarrow (w+25)(w-20)=0\\\therefore w=20\ m\\l=10+2w=10+2\times 20=50\ m[/tex]
