Question

An architectural scale drawing of the room is 9 inches by 12 inches. The area of the actual room is 768 ft^2 . What is the actual length in feet of the longer side of the room? Round the final answer to the nearest integer. *

Answer 1

Answer:

The actual length of the longer side is 32 feet.

Step-by-step explanation:

The room is in the form of a rectangle, its area can be determined by;

                Area  = length × breadth

The area of architectural scale drawing = 9 × 12 inches

                                                                  = 108 squared inches

The ratio of the sides in inches = 12 : 9

                                                 = 4 : 3

So, the ratio of the dimensions of the actual room would = 4 : 3

The area of the actual room = 768 $ft^{2}$

      ∴              area =  length × breadth

  ⇒                  768  = length × breadth

Considering the ratio and the dimensions required, the longer side is approximately 32 feet and the shorter side is approximately 24 feet.

Answer 2

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.)