Question

A scale drawing of Julie's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 cm, and the width is labeled as width equal to 6 cm. If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?

Group of answer choices Length = 16 feet, width = 12 feet Length = 10 feet, width = 8 feet Length = 32 feet, width = 24 feet Length = 14 feet, width = 12 feet

Answer 1

Answer: In the scale drawing, each 2 cm represents 4 feet. So, 1 cm represents 2 feet (since 2 cm is twice 1 cm). Therefore, the length of the room in feet is:

8 cm x (2 feet/1 cm) = 16 feet

Similarly, the width of the room in feet is:

6 cm x (2 feet/1 cm) = 12 feet

So, the actual dimensions of the room are length = 16 feet and width = 12 feet.

Answer: Length = 16 feet, width = 12 feet

Explanation:

Answer 2

Length = 16 feet, width = 12 feet

Explanation:

Scale is 2 cm = 4 feet

Therefore 1 cm = 4/2 = 2 feet

8 cm length = 8 x 2 = 16 feet

6 cm width = 6 x 2 = 12 feet

So the room size is Length = 16 feet, width = 12 feet