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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.
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What is the length of the diagonal of a square who's area is 64cm squared?
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 a diagonal of a square is 8 cm What is the length of each side of the square?
About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64
What is the area of a square with sides of length 8?
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.
What If the area of a square is 64 square centimeters what's the length of one side?
8
How do you find the length of a diagnol of a square if the perimeter is 64 cm?
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.
What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
What is the length of the diagonal of a square who's area is 64cm squared?
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)
What is the length of each side of a square with an area of 64?
The length of each side of a square with an area of 64 is: 8.
The length of a diagonal of a square is 8 cm What is the length of each side of the square?
About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64
How to you calculate area of square whose diagonal length is 8cm?
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
If the area of a square is 64 square centimeters what's the length of one side?
To find the length of one side of a square when the area is given, you can take the square root of the area. Since the area is 64 square centimeters, the length of one side is the square root of 64, which is 8 centimeters. Therefore, each side of the square measures 8 centimeters.
What is the area of a square with sides of the length of 8?
64
What is the area of a square with sides of length 8?
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.
What is the length of a square that has a area of 64mm?
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.
What is the area of a square with a side length of 8 inches?
64 square inches
What is the area of a garden in a shape of a square with a perimeter of 32?
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.
What is the length of the diagonal if the perimeter is 64 Cm?
This is a tough question because the shape is not defined. In a square, it would be approximately 22.627 cm.
