Ah, what a happy little question! To find the diagonal of a square, you can use the Pythagorean theorem. In this case, with a square area of 24 x 24, the diagonal would be 24√2 units long. Just imagine that diagonal stretching across the canvas of your square, bringing balance and harmony to the composition.
The least common multiple of 3, 4, 6, and 8 is 24, so any multiple of 24 is divisible by 3, 4, 6, and 8. Here are some multiples of 24: 24 x 1 = 24 24 x 2 = 48 24 x 3 = 72 24 x 4 = 96 24 x 5 = 120 24 x 6 = 144 24 x 7 = 168 24 x 8 = 192 24 x 9 = 216 24 x 10 = 240
24 = 1 x 24, 2 x 12, 3 x 8, 4 x 6, 6 x 4, 8 x 3, 12 x 2, 24 x 1.
They are 264, 528, 792 (24 = 2 x 2 x 2 x 3, 132 = 3 x 4 x 11) 264 = 2 x 132, 11 x 24 528 = 4 x 132, 22 x 24 792 = 6 x 132, 33 x 24 (The odd multiples of 132 are not divisible by 24)
The prime factors of 24 are 2 and 3. 2 x 2 x 2 x 3 = 24 23 x 3 = 24
24 x 8 = 192.
The diagonal of a 12' x 24' rectangle is approx 26.8'.
Diagonals of a rhombus are perpendicular so the product is the area. If x is the smaller diagonal, the longer is 4x, and the area if 4x2.
Diagonal = 36.9 feet
The diagonal multiplied by sin(angle) gives one side of the rectangle and the diagonal times cos(theta) gives the other. So the area is (diagonal)2 x cos(theta) x sin(theta).
The answer will depend on WHAT is 24 inches: the side, the diagonal, some other aspect.The answer will depend on WHAT is 24 inches: the side, the diagonal, some other aspect.The answer will depend on WHAT is 24 inches: the side, the diagonal, some other aspect.The answer will depend on WHAT is 24 inches: the side, the diagonal, some other aspect.
The radius of a square is the radius of the circumcircle, ie the distance from the centre of the square to any vertex, which is half the length of the diagonal of the square. Using Pythagoras: diagonal^2 = side^2 + side^2 → diagonal = √(2 x side^2) area = side^2 → diagonal = √(2 x area) radius = 1/2 x diagonal = 1/2 x √(2 x area) → radius = 1/2 x √(2 x 72 sq in) = 1/2 x √(144 sq in) = 1/2 x 12 in = 6 in.
43.26661530556787
Do exactly the same thing for a rhombus or a parallelogram A = base x height (parallelogram) OR A = 1/2 x diagonal 1 x diagonal 2
That will depend on the length of the other diagonal because area of a rhombus is 0.5*product of its diagonals.
35.384 ft (rounded)
If diagonal is 10 then each side is sqrt 50 (Pythagoras) and area is sqrt 50 x sqrt 50 ie 50
A diagonal is a line so the area of any diagonal must be zero.