A room measures 50' wide x 100' long and is 9' tall. What is the minimum number of heat detectors needed with a listed spacing of 50'?

To determine the minimum number of heat detectors needed for the specified room, it's essential to understand how detector spacing works in relation to room dimensions.

The room in question measures 50 feet in width and 100 feet in length. The listed spacing for the heat detectors is 50 feet. According to general fire protection guidelines, the effective coverage area for each heat detector needs to be considered.

In this scenario, a heat detector with a spacing of 50 feet can effectively cover a circular area with a diameter of 50 feet. Given the dimensions of the room, the placement of detectors must ensure that the entire area is monitored adequately.

If you divide the room lengthwise (100 feet) by the spacing of the detectors (50 feet), you can determine the number of detectors needed along that dimension. This results in needing two detectors along the length of the room, as they can be placed at intervals of 50 feet to cover the entire 100-foot length.

For the width of the room (50 feet), one detector placed at the center will sufficiently cover this area, as it can span the entire 50 feet.

Bringing it all together, to cover the entire area of the room (100 feet long by 50 feet wide) with