Question

An architect presents a 3 inch wide by 4 inch deep by 3 inch tall model of a new central campus dorm . If the final building foundation is 126 feet wide how deep (in feet) will the building be?

Answer 1

Answer:

Building depth = 168 ft

Step-by-step explanation:

we must find the relationship (scale) of the model with respect to the building .

wide-m (model) = 3 in

deep-m(model) = 4 in

wide-b (building) = 126 feet

deep-b(building) = x

the measures must be standardized

let's convert feet to inches

12 in      →   1 feet

3   in     →   ?,   then

3 in → 0.25 feet and 4 in → 1/3 feet

now deep-m = x

$x=\frac{(1/3)ft*126ft}{0.25ft}=168 ft$