Question

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?

Answer 1

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