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If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).

The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14

* The diagonal of any square is the side length times (sq rt 2).

Q: The area of a square is 100 The length of its diagonal is approximately?

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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

You multiply the length of a side by the square root of 2.If you only have the area, square root it to find the length of a side.

The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.

A square with an area of 80 acres has a length and width of 1,867 feet. The diagonal length of the square is 2,640 feet.

A square with an area of one acre is 209 feet across and its diagonal length is 295 feet.

Related questions

The diagonal length of a square with a 900 square foot area is: 42.43 feet.

The length of a square with an area of 81 would be 9.

The square's diagonal is 11.314 cm

If you are given the area of the square, then the length of each side is the square root of the area. If you are given the length of the diagonal of a square, then the lenght of each side is equal to the length of the diagonal divided by the square root of 2. l=sqrt(a) l=d/[sqrt(2)] l=length of side, d=diagonal, a=area, sqrt means square root

Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.

Approximately 12.73cm

The diagonal is 14 inches.

Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2

If, by diagnole, you meant diagonal, and that its length was 12âˆš2 units, then the area is 144 square unit.

As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 11 sq in) = √22 in ≈ 4.69 in If you mean an 11 inch square, ie a square with 11 inches along each side: Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 11 in × √2 ≈ 15.6 in

The diagonal is 15.620 meters.

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