A park is 4 times as long as it is wide. If the distance around the park was 12.5kilometers, what is the are of the park?

Let length be l and breadth be b.

l = 4b. (I)

Perimeter: 12.5 km

Perimeter, P = 2 (l+b)

P = 2 (4b + b) = 12.5

4b + b = 12.5/2

5b = 6.25

Therefore, b = 6.25/5

= 1.25 km

Now, from 1,

l = 4*1.25

= 5 km

Area = l*b

= 5*1.25

= 6.25 km^2