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 a measure of area; whereas a linear meter is a measure of length.
Impossible!!! Cubic meter is a volume measure and square meter is a measure of area!!!
To find the base meter of a rectangular area with an area of 5015 square meters, you need to know the other dimension (length or width). If you provide this additional information, we can calculate the base meter using the formula: base meter = area / other dimension.
meter is the unit of length ( one dimension) and square feet is ti unit of area two dimension... there is well the in one meter there are 100 centimeters and in one feet there are 30 so 1 meter is about 3 feet and 10 cm . to be exact 1 meter is 3.280 feetThere are no square feet in a meter. A meter is a unit of linear measure, whereas a square foot is a unit of area measurement. Its a little like saying "How many gallons in an volt." There are 10.76 square feet in a SQUARE meter, if that's what you were asking.
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.
A square meter is a measurement of area, not length, so it does not have a direct conversion to inches. The area of a square meter is equal to 1,550.0031 square inches.
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
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!!!