Answer:
The length of the longer side is approximately 439 feets
Step-by-step explanation:
The area of the actual room is given 768 ft²
The architectural scale drawing of the room is 9 inches by 12 inches.
We want to find the length (in feet) of the longest side of the room.
That is, the longer length, such that, the area of the room is in the architectural scale.
Scale = 9in × 12in
Ratio of longer side to the shorter side = 12:9 = 4:3
Sum of ratio = 4+3 = 7
Area of room = 768ft²
We now find what the ratio 4:3 of 768 is
The length of the shorter side is
(768/7) × 3 = 329 (approx.)
The length of the longer side is
(768/7) × 4 = 439 (approx.)