An ecology center wants to set up an experimental garden using 400 meters of fencing to enclose a rectangular area of 9900 square meters. find the dimensions of the garden. (note that the fencing will be the perimeter of the garden, and the formula for the perimeter of a rectangle is p = 2l + 2w.)

Explanation:

Given that,

Fencing to be done, P = 400 m

Area of the rectangular garden,

Let l is the length and b is the breadth of the garden. The area of the rectangle is given by :

............(1)

The perimeter of the garden is given by :

...............(2)

On solving equation (1) and (2), we get the value of l and b are as follows :

l = 90 m and b = 110 m

or

b = 90 m and l = 110 m

So, the dimension of the garden is 90 m by 110 m. Hence, this is the required solution.