SOLUTION: Geometry A square pool has side length p. The border of the pool is 1 ft wide. The combined area of the border and the pool is 400 ft^2. Find the length and the area of the pool.

Algebra ->  Finance -> SOLUTION: Geometry A square pool has side length p. The border of the pool is 1 ft wide. The combined area of the border and the pool is 400 ft^2. Find the length and the area of the pool.       Log On


   

Question 203764: Geometry A square pool has side length p. The border of the pool is 1 ft wide. The combined area of the border and the pool is 400 ft^2. Find the length and the area of the pool.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the pool is square and the border is uniformly 1 foot wide all the way around, then the side length of the outside edge of the border must be

The overall area must then be

Solve for (exclude the negative root) and


John