At a guess i'd say it was because a rectangular building would would have a larger perimter in all cases, so if it cost more to build the outward-facing walls of a building, then having a square building would reduce this cost.
To prove a square always has the least perimeter per area:
Consider a rectangle with length l and width w. We can write the following about it's area, A and perimeter, P:
(1) A = lw
(2) P = 2l + 2w.
To prove that the rectangle has sides all of equal length (w = l), I will find the minimum perimeter, P (and the corresponding ratio of l and w) for a fixed area, A.
From equations (1) and (2),
(3) w=A/l
(4) P = 2l + 2A/l.
For very large and small values of l, the perimeter is bigger than the optimum (for example, a rectangle has area 9, if l is very small/large, (0.9/10), then the perimeter is large (21.8) compared to a moderate value of l (l = 3, perimeter is 12) [calculated using equation (4)]. So, if P is large for very big and very small values of l, and gets smaller in the middle (quite like a U shape), there must be a point where P stops getting smaller and gets bigger again (the tip of the U). This is called the 'turning point' of P.
The quantity 'dP/dL' is the rate of change of P as l changes. This is equal to 0 at the turning point of l. An algabraic expression for dP/dl can be found by following a few simple rules (look for 'differentiation by first principles' to have these explained):
(5) dP/dl = 2 - 2A/l²
So our minimum value of P is at the turning point of P, when dP/dl = 0, solving this gives:
dP/dl = 0
=> 2 - 2A/l² = 0
=> A/l² = 1
=> A = l² (6)
Recall from equation (3) that the width of the rectangle, w is given by
(3) w = A/l
So
w = A/l = l²/l = l.
So the width is the same as the length of the rectangle when the perimeter is at a minimum, thus the rectangle must be a square.
The area of square is : 144.0
One square meter of area.
A square 1 meter long and 1 meter wide is 1 square meter. 1 square meter equals 1.19599 square yards 1 square meter equals 10.76391 square feet
A square meter is larger. A square yard consists of an area 3 feet by 3 feet, producing an area of 9 square feet. A square meter is an area roughly 3.28 feet by 3.28 feet, producing an area of roughly 10.76 square feet.
Impossible!!! Cubic meter is a volume measure and square meter is a measure of area!!!
That is a flat area with the sides of 1 meter times 1 meter as 1 square meter.
The area of square is : 144.0
One square meter of area.
Does not compute a meter is a length, a square meter is an area.
A square meter is a measure of area, not volume.
A square 1 meter long and 1 meter wide is 1 square meter. 1 square meter equals 1.19599 square yards 1 square meter equals 10.76391 square feet
10,000/3 = 3,3331/3 of them
1 cubic meter is a unit of volume while square meter is a unit of area. We can not convert volume into area.
meter square
The area of square is : 0.36
The area of square is : 0.36
Impossible!!! Cubic meter is a volume measure and square meter is a measure of area!!!