Question

The scale of a floor plan of a flat is 1:200. If the actual area of the flat is 80 m², find the area of the floor plan.

a. 0.4 m²
b. 16000 m²
c. 8000 m²
d. 40000 m²

Answer 1

The area of the floor plan is 0.002 m².

Step-by-step explanation:

The scale of the floor plan is 1:200. This means that every 1 unit on the floor plan represents 200 units in actual size. To find the area of the floor plan, we need to square the scale factor. The scale factor squared is (1/200)^2 = 1/40000. Since the actual area of the flat is 80 m², we can multiply it by the scale factor squared to find the area of the floor plan. So, the area of the floor plan is 80 m² x 1/40000 = 0.002 m².