Posted by **cheryl** on Thursday, November 16, 2006 at 8:55pm.

i am building a rectangular swimming pool. the pool is to have a surface area of 1000 ft.^2. it also has a uniform walk way of 3 ft. surrinding it. X is the lengh of one side of the pool, and Y is te lengh of the other side.

A.) express the area of the plot of land needed for the pool and the surrunding side was as a function of, X.

B.) Determine the dimensions of the plot of land that has the least area.

C.) what is the least area?

Well xy is 1000

Area= pool

Area= (x+3)(y+3) but y=1000/x

1)Area= (x+3)(1000/x +3)

Least area? Take dA/dx, set to zero, and solve for x. Then solve for y.

least area is the area in 1) above with the x you found.

## Answer This Question

## Related Questions

- Algaebra - A rectangular swimming pool is 5 feet longer than it is wide. If a ...
- Algebra - width W or a rectangular swimming pool is 7x^2. The area of the pool ...
- math - a rectangular swimming pool measures 20 feet by 40 feet. a walk of ...
- math - a certain company makes inflatable swimming pools that come in four ...
- Calc - An Olympic-sized swimming pool is a rectangular prism that is 50m long, ...
- Math - A rectangular swimming pool is bordered by a concrete patio. The width of...
- Math - A man built a walk of uniform width around a rectangular pool. If the ...
- math - A deck is being built around a rectangular swimming pool. The swimming ...
- Geometry - a rectangular swimming pool has an area of double 1500ft. The ...
- Algebra - I just need help setting up the equation - the rest I can do on my own...

More Related Questions