The pool should be 50 feet wide.
In the question, we are given that a physical therapy facility is building a new pool that is 60 feet long and 5 feet deep. they have ordered enough tile for a 220 foot-long border around the edge.
We are asked for the width of the pool, that ensures that all tiles are used.
We assume the width to be x foot, that is, the pool is x-feet wide.
The border is around the edge of the pool, that is, it will cover the perimeter of the face of the pool.
It is in the shape of a rectangle.
The perimeter of a rectangle is given by the formula, 2(length + width).
The length is given t be 60 feet, and the width is assumes to be x-feet.
The perimeter will be fully covered by the 220-feet long border, that is, the perimeter = 220 feet.
Putting in all the value of the perimeter, and equating to 220, gives an equation:
2(60 + x) = 220,
or, 60 + x = 220/2,
or, 60 + x = 110,
or, x = 110 - 60 = 50.
Thus, the pool should be 50 feet wide.
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