Question

A house is advertised as having \[1420\] square feet under its roof. What is its area in square meters?
(a) \[4660{\text{ }}{m^2}\]
(b) \[432{\text{ }}{m^2}\]
(c) \[158{\text{ }}{m^2}\]
(d) \[132{\text{ }}{m^2}\]
(e) \[40.2{\text{ }}{m^2}\]

Answer 1

Hint: We are dealing with unit conversion in this scenario. The link between the two parts must be remembered. To complete the conversion, multiply the quantity to be converted by the conversion factor's quotient to eliminate the undesirable unit.

Complete step by step solution:
The conversion of units is the subject of this problem. The link between the two parts is critical to remember.
$1ft = 0.3048m$
We'll square the conversion factor to get a square foot conversion.
$
  {\left( {1ft} \right)^2} = {\left( {0.3048m} \right)^2} \\
  1f{t^2} = 0.09290{m^2} \\
 $
To accomplish the conversion, multiply the quantity to be converted by the conversion factor's quotient, discarding the unnecessary unit.
$1420f{t^2}\left( {\dfrac{{0.09290{m^2}}}{{1f{t^2}}}} \right) = 132{m^2}$
An area of \[1420\] square feet is equal to \[132{\text{ }}{m^2}\]
So, the correct option is: (d) \[132{\text{ }}{m^2}\]

Additional Information:
A unit conversion is a method of expressing the same attribute in a different measurement unit. Time, for example, can be expressed in minutes rather than hours, and distance can be translated from miles to kilometres, feet, or any other unit of measurement. Measurements are frequently offered in one set of units, such as feet, but are required in another, such as chains. A conversion factor is a numerical equation that allows for an equivalent exchange of feet and chains.
A conversion factor is a number that is multiplied or divided to convert one set of units to another. When converting from one value to another, the appropriate conversion factor must be employed.

Note: Unit conversion is significant since units are utilised in a variety of settings, including the commercial marketplace, technical documentation, temperature, and other parameters. The length, volume, mass, and area are all listed in a single conversion table. Scientific notation is used to express the units, which are then transformed to numerical values based on the quantities.