Final answer:
To find the actual dimensions of the room from a scale of 60:1, we multiply the drawing's measurements (2 1/4" and 3 1/8") by 60 to get 135 feet by 187.5 feet. The area is determined by multiplying these dimensions together, resulting in 25,312.5 square feet.
Step-by-step explanation:
To determine the actual dimensions of a room based on a scale drawing, we first need to assess the scale and convert the drawing measurements accordingly. With a floor plan scale of 60:1 and the room dimensions on the drawing being 2 1/4" by 3 1/8", we use the scale to convert inches on the drawing to feet in reality.
Step by step, the conversion would look like this:
Convert the measurements on the drawing from inches to feet by multiplying each dimension by the scale factor. This means we first convert the fractional inches to decimal form.
2 1/4 inches is equal to 2.25 inches and 3 1/8 inches is equal to 3.125 inches.
Since the scale is 60:1, we multiply each measurement by 60. Therefore, 2.25 inches becomes 2.25 * 60 = 135 feet, and 3.125 inches becomes 3.125 * 60 = 187.5 feet.
To find the area of the actual room, we multiply the length by the width: 135 feet * 187.5 feet = 25,312.5 square feet.
The actual dimensions of the room would be 135 feet by 187.5 feet and the area would be 25,312.5 square feet.