Problema Solution
A pool measuring 12
meters by 22
meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 936
square meters, what is the width of the path
Answer provided by our tutors
Let 'w' represent the width of the pool, w>=0.
The area of the pool without the path is: 12*22 = 264 m^2
The area of the pool with the path is: (12 + 2w)*(22 + 2w) = 936
We need to find the positive roots of the quadratic equation:
(12 + 2w)*(22 + 2w) = 936
........
click here to see the equation solved for w
........
w = 7 m
The width of the path is 7 meters.