Question

Dylan is playing a kite. If the diagonals of his kite measure x-1 and x+2 respectively, and its area is 44fl², how long is the longer diagonal?

Answer 1

To find the length of the longer diagonal of the kite, set up an equation using the given information. Simplify the equation and solve for x by taking the square root of both sides.

Step-by-step explanation:

To find the length of the longer diagonal of the kite, we need to set up an equation using the given information. The area of a kite can be found using the formula A = (d1 * d2)/2, where A is the area and d1 and d2 are the lengths of the diagonals. We know that the area is 44fl², so we can set up the equation as (x-1)(x+2)/2 = 44fl².

Simplifying the equation, we get (x^2 - 1)/2 = 44fl². Multiplying both sides by 2, we have x^2 - 1 = 88fl². Adding 1 to both sides gives us x^2 = 88fl² + 1.

Now we can solve for x by taking the square root of both sides. x = sqrt(88fl² + 1).