The Smiths decide to build an 800 square ft rectangular garden in their yard. Th

Question

The Smiths decide to build an 800 square ft rectangular garden in their yard. They want to have a border or plants and shrubs to give it definition. On the back side of the garden they want to use hydranga plants which cost $5/running foot. On the two sides, they want to use a smaller shrub of simple mounding flowers which cost $3/running foot. They will keep the front of the garden open with no shrubs to allow access. Determine the dimensions of the garden that can be created at minimum cost. Then find that cost to build the garden.

Please show your work cause I am completely lost on this problem and need to know how it is solved

Explanation / Answer

Q:A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft. of fence? What should the dimensions of the garden be to give this area?
The max. area that the farmer can enclose with 100 ft of fence is ___sq ft.
The dimensions of the garden to give this area is 50 ft by ___ ft.

Perimeter = 2L + 2W

One of these sides is made up of the barn, so you can eliminate either one L or one W. A square ordinarily would give you the maximum area, but the side of the barn used can vary without adding to the fence used.

If one side is 50, the other two sides would be 25 to form a rectangle. From that, you can determine the area.

the area of the pool is 750 sq. ft. one side is 30 feet long .

Q:The Smiths

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