Question

The drawing shows a plan for a living room 0.5 inch Living Room Key: 1 inch = 16 feet0.75 inch What will the actual dimensions of the living room be? A 4 ft by 8 ft B. 8 ft by 12 ft C 8 ſt by 24 ft D. 16 ft by 48

Answer 1

The actual dimensions of the living room, based on the scale provided, are 8 feet by 12 feet. The scale ratio 1 inch = 16 feet was used to calculate the real-world measurements from the drawing.

Step-by-step explanation:

To find the actual dimensions of the living room based on the scale provided in the drawing, we need to use the scale ratio. The key given is 1 inch = 16 feet. Therefore, we can set up two ratios to find out the real length and width of the living room.

For the length, if 0.5 inch represents the living room on the drawing, then using the scale provided:

Length ratio: 1 inch / 16 feet = 0.5 inch / x feet

By solving the proportion, we find that:

x = 0.5 inch * 16 feet / 1 inch

x = 8 feet

For the width, if 0.75 inch represents the living room on the drawing, then:

Width ratio: 1 inch / 16 feet = 0.75 inch / y feet

y = 0.75 inch * 16 feet / 1 inch

y = 12 feet

The actual dimensions of the living room are therefore 8 feet by 12 feet, which corresponds to option B.