Final answer:
The area of the kite is given as 9x^2 square inches, and since no numerical value for x is provided in the question, the area can only be expressed in terms of x as 9x^2.
Step-by-step explanation:
The question asks us to determine the area of a kite given the lengths of its diagonals and an equation for its area. The diagonals of a kite are given as x inches and 18x inches, and the area A is given by A = 9x^2. To find the actual area, we simply need to solve for x using the information about the kite's diagonals.
Recall that the area of a kite can be calculated using the formula A = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. Therefore, substituting the given diagonal lengths into the formula, we get A = (x * 18x) / 2 = 9x^2. This confirms that the area formula given in the problem is correct based on the diagonal lengths of the kite.
Since the area has already been given as 9x^2, we can see that the value of x does not need to be found to determine the area of the kite. The area is already provided as 9x^2, so we can focus on the coefficients and make use of the fact that the variable x is squared. Thus, the actual area of the kite is 9x^2 square inches.
However, no value for x is given in the problem, meaning we cannot solve for a numerical area without it. If the question intends to ask what the area is in terms of x, then the answer would be 9x^2.