Using Pythagoras:
diagonal² = side² + side² = 2 × side²
→ side² = diagonal² ÷ 2
area = side²
= diagonal² ÷ 2
→ diagonal² = 2 × area
→ diagonal = √(2 × area)
= √(2 × 36)
= 6√2
≈ 8.49
12.73 feet
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
The diagonal of a 36 x 36 foot square is 50.91 feet.
The square root of 36 is 6, so a square with an area of 36 square yards will have sides which measure 6 yards each.
The area of a square of length m is m2 Accordingly, for a square of side length 6 length units = 62 square units. = 36 square units
12.73 feet
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
Using Pythagoras: 322+362 = 2320 and the square root of this is the length of the diagonal
sqrt (2 x 36 x 36) ie 50.94 inches
The diagonal of a 36 x 36 foot square is 50.91 feet.
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.
The area of a square is the "length x width" but as these are equal we can put that the area = L2.....where L is the side length of the square. If the value of the area is known then the square root of this figure provides the side length. Example : Area = 36 sq cm, Length L = √36 = 6 cm.
The square root of 36 is 6, so a square with an area of 36 square yards will have sides which measure 6 yards each.
If the square has an area of 36 square meters then each of its sides will be 6 meters in length
The area of a square of length m is m2 Accordingly, for a square of side length 6 length units = 62 square units. = 36 square units
The area of square is : 36.0
72 divided by 2 is 36 so the area is 36 then a square is side squared so the length of the side is 6.