Problema Solution

The perimeter of a rectangular park is 200 meters. What are the dimensions of the park if it has an area of 2304 m?

Answer provided by our tutors

let


w = the width of the park, w>0

l = the length of the park, l>0


the perimeter of a rectangular park is 200 meters


2(l + w) = 200


it has an area of 2304 m


l*w = 2304


since the area of rectangle = length*width


by solving the system of equations


2(l + w) = 200

l*w = 2304


we find


l = 64 m


w = 36 m


the dimensions of the park are 64 m and 36 m.