Final answer:
The perimeter of the scale drawing will be 34 inches.
Step-by-step explanation:
To find the perimeter of the scale drawing, we need to convert the dimensions of the room into inches. The scale ratio is 1 inch:4 feet. So, for the length of 40 feet, the length in inches would be 40/4 = 10 inches. And for the width of 28 feet, the width in inches would be 28/4 = 7 inches. Now we can find the perimeter of the scale drawing by adding all four sides, which would be 2*(10+7) = 34 inches.