To find the length of the diagonal of a square with an area of 64 square units, we first need to calculate the side length of the square. Since the area of a square is side length squared (A = s^2), we can find the side length by taking the square root of the area (s = √A). In this case, the side length of the square is 8 units.
To find the length of the diagonal, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2). Since a square can be divided into two right triangles with the diagonal as the hypotenuse, we can calculate the diagonal length using d = √(s^2 + s^2), where d is the diagonal length and s is the side length.
Substituting the side length of 8 units into the formula, we get d = √(8^2 + 8^2) = √(64 + 64) = √128 = 8√2 units. Therefore, the length of the diagonal of a square with an area of 64 square units is 8√2 units.
Area = 64 cm2 so length of side = 8cm Then, by Pythagoras, length of diagonal = sqrt[82 + 82] = 8*sqrt(2) = 11.3137 cm (to 4 dp)
About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64
The area of a square is calculated by multiplying the length of one side by itself. In this case, with sides of length 8, the area would be 8 x 8 = 64 square units.
8
If the perimeter is 64, then one side is 16. The diagonal is the hypotenuse of a right triangle. Hello Pythagoras. The answer is the square root of 512 or 16 times the square root of 2.
The square's diagonal is 11.314 cm
Area = 64 cm2 so length of side = 8cm Then, by Pythagoras, length of diagonal = sqrt[82 + 82] = 8*sqrt(2) = 11.3137 cm (to 4 dp)
The length of each side of a square with an area of 64 is: 8.
About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64
Firstly you need to work out the length of a side. Using Pythagorean Theorem for a right angled triangle a2+b2=c2 where a = the length, b = height & c = diagonal since c = 8 and a = b are the same 2a2 = 64 a2 = 32 a = 5.657 cm since the area of the square is a2 then area = 32cm2
64
The area of a square is calculated by multiplying the length of one side by itself. In this case, with sides of length 8, the area would be 8 x 8 = 64 square units.
The length is 8mmyou find the square root of 64mm and your answer will be 8mmJust a clarification in terms of notation and units...64mm is a measure of length, not area. The proper designation is 64 mm2 or 64 square mm.
64 square inches
Since a square has four sides that are all of equal length each side is of length 32/4, or 8. The area of the square garden is length times width, 8 x 8, or 64. 64 square feet? 64 square meters? 64 square inches? Your question didn't specify any units.
A square with a side length of 8 units has an area of 64 square units.
This is a tough question because the shape is not defined. In a square, it would be approximately 22.627 cm.