Question

The equation(s) that represent the value of x, given the lengths of the diagonals of a kite as x inches and 18x inches, and the area of the kite as A = 9x² are:

(A) x(18x) = 2A
(B) x * 18x = 9x²
(C) x² + (18x)² = A
(D) A = 1/2 * x * 18x

Answer 1

The correct equation for the area A of a kite with diagonals x inches and 18x inches is A = 1/2 * x * 18x, which is option (D).

Step-by-step explanation:

The question asks to find the equation(s) that represent the value of x, given the lengths of the diagonals of a kite as x inches and 18x inches, and the area of the kite as A = 9x². The area of a kite can be calculated as half the product of its diagonals. Therefore, to find the area, A, of the kite:

A = \frac{1}{2} \cdot (diagonal 1) \cdot (diagonal 2)

Plugging in the given values for the diagonals:

A = \frac{1}{2} \cdot x \cdot 18x

Thus, the equation that matches this expression is:

(D) A = \frac{1}{2} \cdot x \cdot 18x