49. The area of a square is 40000cm2. What will be length of diagonal?
A) meter
B) 2 meter
C) meter
D) 200 meter
D=square root of 2 x side
d=282.84 cm
or 2.83 meters..
approximately 2
I agree with appr 2.83 m
but you would round that to 3 m , not 2 m
since A and C have no units, I suspect a typo, and one of those was 3 m
To find the length of the diagonal of a square, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In the case of a square, the diagonal is the hypotenuse of a right triangle, and the sides of the triangle are the length of one side of the square.
Let's call the length of one side of the square "s". The area of the square is given as 40000 cm^2.
Since the area of a square is equal to the square of its side length, we have:
s^2 = 40000
To find the length of the diagonal, we need to find the value of "s", and then calculate the length of the hypotenuse using the Pythagorean theorem.
Taking the square root of both sides of the equation, we have:
s = √40000
Now we can calculate the length of the diagonal. Let's call it "d".
Using the Pythagorean theorem:
d^2 = s^2 + s^2
d^2 = 2s^2
Substituting the value of "s" from the equation s = √40000:
d^2 = 2(√40000)^2
d^2 = 2(200^2)
d^2 = 2(40000)
d^2 = 80000
Taking the square root of both sides of the equation, we have:
d = √80000
Calculating the value of "d", we find:
d ≈ 282.84 cm
Therefore, the length of the diagonal of the square is approximately 282.84 cm.
None of the options provided in the question matches the calculated length of the diagonal.