(a)

The hospital complex length and breadth is by .

The receiver should be situated at the central point of the hospital, which is

within the long side of the building.

(b)

The building is shaped like a rectangle. In order to reach every part of the building,a circle must be drawn with a center at the central point of the building. From the central point, the farthest point of the building is at a corner of the rectangle.

Apply the Pythagorean Theorem to find this distance.

.

.

This distance is the radius of the circle that encloses the entire building. So, an

equation that models the sonar range of the IPS is .

(a)

The receiver should be situated at the central point of the hospital, which is

within the long side of the building.

(b) The equation models the sonar range of the IPS is .