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
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 m2
Therefore, the answer is 15.12 m2.