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What is area of a square the length of whose diagonal is 12?
The area is 72 square units. Explanation: the diagonal,d, is the hypotenuse of a rt. triangle whose legs are both s, the side of the square, so d2= s2 + s2 = 2s2 Therefore , the area of the square , s2 = d2/2 = (12)2/ 2 = 144/2 = 72.
How do you find area of square if diagonal is given?
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
What is the length of the diagonal of a square with an area of 64?
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.
The width of a rectangle is 10 meters and its area is 120 square meters What is the length of the diagonal?
The diagonal is 15.620 meters.
The area of square garder is 200 meters squared how long is the diagonal?
If the area of the square is 200, then the side is sqrt(200).The length of the diagonal is sqrt(200 + 200) = sqrt(400) = 20 meters.
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 diagonal length of a square with a 900sq ft area?
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
What is the area of a square whose side is equal to the diagonal of a square whose area is 108 meter per square?
The area of square is : 11664.0
Length of a diagonal square with area of 81?
The length of a square with an area of 81 would be 9.
Diagonal of a square whose area is 36?
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.
What is area of a square the length of whose diagonal is 12?
The area is 72 square units. Explanation: the diagonal,d, is the hypotenuse of a rt. triangle whose legs are both s, the side of the square, so d2= s2 + s2 = 2s2 Therefore , the area of the square , s2 = d2/2 = (12)2/ 2 = 144/2 = 72.
How do you find the length of each side of a square?
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
How do you find the area of a square given only the length of its diagonal?
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.
How do you find the area of a square whose diagonal is 7.5 cm?
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What is the area of a square with a diagonal of 14?
To find the area of a square with a diagonal of 14, we first need to determine the length of one side of the square. Using the Pythagorean theorem, we can calculate that the side length is 7√2. Then, we can find the area of the square by squaring the side length, which gives us 98 square units.
What is the length of the diagonal of a square if its area is ninety eight inches squared?
The diagonal is 14 inches.
The area of a square is 100 The length of its diagonal is approximately?
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).
