Question

The school library is building a new one-room addition. Using the scale 1/8 in = 1 ft, what is the total area of the new room? a) 120 sq in b) 360 sq in c) 480 sq in d) 960 sq in

Answer 1

The total area of the new room is 459 square feet, by converting the scale drawing dimensions to feet using the 1/8 inch to 1 foot ratio and then multiplying the length by the width. Therefore, the correct option is c).

Step-by-step explanation:

To find the area of the new room in the library, we need to convert the scale drawing dimensions to the actual room dimensions and then calculate the area using those dimensions. The scale given is 1/8 inch = 1 foot. Therefore, we need to multiply the scale dimensions by 8 to get the dimensions in feet.

First, let's convert the given dimensions from inches to feet. The dimensions given are 2 1/4 inches and 3 3/16 inches.

• 2 1/4 inches = 2.25 inches
• 3 3/16 inches = 3.1875 inches

Now, we multiply these dimensions by 8 to convert them to feet:

• 2.25 inches * 8 = 18 feet
• 3.1875 inches * 8 = 25.5 feet

Next, we find the area by multiplying the length by the width:

Area = 18 feet * 25.5 feet = 459 square feet

Therefore, the correct option is c).