Answer:
Therefore the dimensions of the garden is 16 feet by 13 feet.
Step-by-step explanation:
Let the length of the garden be x and the width of the garden be y.
Given that the area of the rectangular garden is 208 square feet.
Therefore,
xy =208

Again given that,
The garden is to be surrounded on three sides by a brick wall costing $ 8 per feet and the remaining sides by a fence costing $5 per feet.
The perimeter of the rectangle is = 2(length+ breadth)
= 2(x+y)
=2x+2y
The total cost of fence
![C= [ (2x\times 8)+(y\times 8)+(y\times 5)]](https://tex.z-dn.net/?f=C%3D%20%20%5B%20%282x%5Ctimes%208%29%2B%28y%5Ctimes%208%29%2B%28y%5Ctimes%205%29%5D)
= (16x+ 8y +5y)



To find the maximum or minimum point, we need to find out
and set
=0.

Then





Again 

Therefore at x= 13 , the cost is minimum.
Therefore x = 13 feet.
The other side of the garden is
feet = 16 feet.
Therefore the dimensions of the garden is 16 feet by 13 feet.