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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.)

User Hellslam
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1 Answer

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Step-by-step explanation:

Given that,

Fencing to be done, P = 400 m

Area of the rectangular garden,
A=9900\ m^2

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


A=l* b


lb=9900............(1)

The perimeter of the garden is given by :


P=2(l+b)


400=2(l+b)


200=(l+b)...............(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.

User Mfperzel
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