How do you change m2 to squarefeet?

Answer 1

Begin with an equation that is known, or is easy to find. Your question asks to convert a 2-dimensional quantity (area) from the metric measurement system into the English system.

Let us first reduce the problem into a single dimension, linear, where conversion factors are more easily remembered (or more easily found), then use algebra to obtain the final answer:

Given the equality 2.54 centimeters (cm) equals 1 inch (in.); or

2.54 cm = 1 in.

and also that 100cm = 1 m

and also that 12in. = 1 ft.

we can soon proceed with conversion.

We learn in Algebra that we keep an equation true by doing the same thing to both sides of it. There are 2 exceptions. We may add zero to one side and not the other all we like. And we may multiply one side and not the other by 1 as much as we like. When we do conversions (units we know to the units we want,) we are multiplying by 1. (1 in./2.54 cm) = one because they are equal quatities, and anything divided by itself is 1

We have 1m2 and we want ft.2 ...

1m2 X ((100 cm)2/1m2) X (1 in./2.54cm)2 X (1 ft./12in.)2

1m2 X (10000 cm2/1m2) X (1 in.2/2.542cm2) X (1 ft. 2/ 122 in.2)

1m2 X (10000 cm2/1m2) X (1 in.2/6.452 cm2) X (1 ft. 2/ 144 in.2) = 10.76 ft.2

One m2 equals 10.76 square feet,

So to change m2 to square feet, multiply by 10.76