Choose the answer.

Question

Choose the answer.
On a 120:1 scale model floor plan, one bedroom has a length of 3.5 cm and a width of 3 cm. What is the area of the actual bedroom in square meters?

Floor plan of a master bedroom. bedroom highlighted in the top right corner of the floor plan with length as 3.5 centimeters and width 3 centimeters.

Question 5 options:

10.5 m2

15.12 m2

840 m2

151,200 m2

GPT 3.5 · Answer

To find the area of the actual bedroom in square meters, we need to enlarge the measurements using the scale factor of 120:1.

Length of actual bedroom = length of model bedroom * scale factor = 3.5 cm * 120 = 420 cm
Width of actual bedroom = width of model bedroom * scale factor = 3 cm * 120 = 360 cm

Now, let's convert the measurements to meters:
Length of actual bedroom = 420 cm / 100 = 4.2 m
Width of actual bedroom = 360 cm / 100 = 3.6 m

Area of actual bedroom = length * width = 4.2 m * 3.6 m = 15.12 m^{2

Therefore, the answer is 15.12 m².}