To find the diagonal dimension, you must find the length of the hypotenuse
The formula to find the hypotenuse is a2 + b2 = c2. Since we know that both the legs are twenty feet long, then we can fill in the formula.
202 + 202 = c2
400 + 400 = c2
800 = c2
c = √800
c ≈ 28.28
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Since a square has right angles, you can use the Pythagorean Theorem to calculate the diagonal. Specifically, the diagonal of a square is equal to the length of a side, multiplied by the square root of 2.
You need to include the third dimension to calculate the cubic capacity of a room
The diagonal of a 12' x 24' rectangle is approx 26.8'.
400 square feet.
Diagonals of a rhombus are perpendicular so the product is the area. If x is the smaller diagonal, the longer is 4x, and the area if 4x2.