In Europe, the areas of apartments are typically listed in square meters (m²). If the area of an American apartment is 1.6 × 10³ ft², a Paris apartment with which of the following areas has roughly the same area as the New York apartment? [1 meter = 1.094 yards] A) 120 m² B) 178 m² C) 149 m² D) 160 m²

Question

Quizplus · Accepted Answer

First, we need to convert the area of the American apartment from square feet to square meters using the conversion factor provided:

1.6 × 10^13 ft^2 = (1.6 × 10^13 / 1.094^2) m^2 = 1.44 × 10^11 m^2

Next, we can look for the Paris apartment with an area closest to this value:

A) 120 m^2 = 1.296 × 10^3 ft^2 
B) 178 m^2 = 1.916 × 10^3 ft^2 
C) 149 m^2 = 1.603 × 10^3 ft^2 
D) 160 m^2 = 1.722 × 10^3 ft^2

Option C has an area of approximately 1.603 × 10^3 ft^2, which is the closest to the converted area of the American apartment. Therefore, the best choice is C.

In Europe, the Areas of Apartments Are Typically Listed in Square