**8/13/2014
**A
swimming pool, rectangular in shape, is surrounded by a walkway of
uniform width, say *x*.
If the outer dimensions of the walkway are 16m by 10m and the area of
the pool alone is 112m^{2},
find *x*.

**Scroll
down for the solution.**

**8/13/2014
**Solution.**
**The
Outer dimensions of layout: 16m X 10m.

Since the
walkway has a uniform width of *x*,
the dimensions of the pool: (16 – 2*x*)
X (10 – 2*x*)

Given: (16
– 2*x*)(10 –
2*x*) = 112

Solving
the quadratic equation, **x****
= 1m**.