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Answer:

Sure, I'd be happy to help!

Let's start by using the formula for the area of a square, which is A = s^2, where A is the area and s is the length of one side of the square.

We know that the diagonal of the square is 28 cm. We can use the Pythagorean theorem to find the length of one side of the square.

If we let x be the length of one side of the square, then we have:

x^2 + x^2 = 28^2

Simplifying this equation, we get:

2x^2 = 784

Dividing both sides by 2, we get:

x^2 = 392

Taking the square root of both sides, we get:

x = sqrt(392)

Simplifying this expression, we get:

x = 14*sqrt(2)

Now that we know the length of one side of the square, we can use the formula for the area of a square to find K.

A = s^2

A = (14*sqrt(2))^2

A = 392

We are given that A = K * 49c * m^2, so we can set these two expressions equal to each other and solve for K:

K * 49c * m^2 = 392

K = 8/(7c*m^2)

Therefore, K is equal to 8/(7c*m^2).

Hope that helps!