SOLUTION: An architect is using the concept of similar geometric figures and a small prototype model (shown on the right below) to design a cottage. For both the model and the actual cottage

Algebra ->  Polygons -> SOLUTION: An architect is using the concept of similar geometric figures and a small prototype model (shown on the right below) to design a cottage. For both the model and the actual cottage      Log On


   

Question 211816: An architect is using the concept of similar geometric figures and a small prototype model (shown on the right below) to design a cottage. For both the model and the actual cottage, the ratio of the height to the width (excluding the roof) is 9 to 12. If the width of the actual house is 8 ft, what is its height?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Using proportions:
Model -----------to---- actual
(Height/Width) = (height/width)
9%2F12+=+h%2F8 Multiply both sides by 8.
9%2A8%2F12+=+h Evaluate.
h+=+6feet.
The height (excluding roof) is 6 feet.