Question

A scale drawing of Jerome's living room is shown below: If each 2 cm on the scale drawing equals 6 feet, what are the actual dimensions of the room?
A.) Length = 16 feet, width = 12 feet
B.) Length = 11 feet, width = 9 feet
C.) Length = 24 feet, width = 18 feet
D.) Length = 20 feet, width = 18 feet

Answer 1

To find the actual dimensions of the room, we need to convert the measurements on the scale drawing to actual measurements by using the scale factor.

Given:
Each 2 cm on the scale drawing equals 6 feet

The scale factor is:
Actual length = Scale length * Scale factor
Actual width = Scale width * Scale factor

Let x be the actual measurements in feet.

Length:
2 cm on the scale drawing = 6 feet
x cm on the scale drawing = x * 6 feet
x cm on the scale drawing = 2 cm
x = 2 * (6 / 2)
x = 6 feet

Width:
2 cm on the scale drawing = 6 feet
x cm on the scale drawing = x * 6 feet
x cm on the scale drawing = 2 cm
x = 2 * (6 / 2)
x = 6 feet

Therefore, the actual dimensions of the room are:
Length = 6 feet
Width = 6 feet

Therefore, none of the answer choices are correct.