Question

A park square in shape has a $3$ metre wide road inside it running along its sides. The area occupied by the road is $1764$ square metre. What is the perimeter along the outer edge of the road?

Answer 1

given with of road $=3m$

assume Length of outer square is $4m$

Then also Length of inner square is $(n-6)m$

So area of roads =area of outer square- area of inner square

$1764=n^2-(n-6{)}^2$

$1764=n^2-(n^2-12n+36)$

$1764=12n-36$

$12n=1800$

$n=150$

So The perimeter of the park $=4n$

$=4\times 150$

$=600meter$