Tall Office Buildings

_____________________________________
Title Page || Table of Contents
_____________________________________

Example 1: Tall Office Buildings
The floors of a 36-story building are rectangles with a length-to- width ratio of 3:2. Find the length-to-width ratio of the floors of a 25-story office building that will have the same total floor area and the same perimeter.1

From Eq. 4b, k for a 3:2 rectangle is = 86.83%. From Eq. 2, k for the building as a whole is = 14.47%. For both area and perimeter to be the same, the perimeter efficiency of the 25-story building must also be 14.47%. Thus the perimeter efficiency per floor of the 25-story building will be 1392= 72.36%. From Eq. 4c, q = 3.732, the length-to-width ratio of the equivalent 25-story building.

On To Next Example

1Perimeter is important because, on the one hand, it is a measure of the amount of view and daylight the occupants will have and, on the other hand, it effects both the construction costs and the long term operating and maintenance expenses of the building. [Top]

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2009 Drexel University. All rights reserved.
http://mathforum.org/
 The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.

Comments?
Email: shorne@keypress.com