Harold Goldstein and his wife Elaine recently installed a built-in rectangular swimming pool measuring 22 ft by 28 ft. They want to add a decorative tile border of uniform width all around all sides of the pool. How wide can they make the tile border if they purchased enough title to cover 464 sq ft?

The maximum width of the border can be ___ ft. (Type an exact answer using radicals as needed.)

Question

Harold Goldstein and his wife Elaine recently installed a built-in rectangular swimming pool measuring 22 ft by 28 ft. They want to add a decorative tile border of uniform width all around all sides of the pool. How wide can they make the tile border if they purchased enough title to cover 464 sq ft?

 The maximum width of the border can be ___ ft. (Type an exact answer using radicals as needed.)

amber15 · Answer

@theEric

theeric · Answer

Alright! So, I know you have at least a little bit of skill with this since you got the last one. So let me start by giving you a hint, and we'll go from there!

So, I want you to think about the $\it {width}$ and $\it {height}$ of the rectangle that is made up by the whole $\text {rectangle + bordering}$.

The area of border alone, then, is that whole thing, minus the area that the pool takes up.


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