If the area of a kite is 44 square inches and the length of the long diagonal is 11 inches, what is the length of the short diagonal?

To find the length of the short diagonal of the kite, we can use the formula for the area of a kite. The area $A$ of a kite is given by:

$A = \frac{1}{2} \times d_1 \times d_2$

where $d_1$ and $d_2$ are the lengths of the diagonals. In this problem, we know the area $A$ is 44 square inches and the length of the long diagonal $d_1$ is 11 inches. We need to find the length of the short diagonal $d_2$.

First, we can rearrange the formula to solve for $d_2$:

$d_2 = \frac{2A}{d_1}$

Now, substitute the given values into the formula:

$d_2 = \frac{2 \times 44}{11}$

Calculate the numerator:

$2 \times 44 = 88$

Now, divide by the length of the long diagonal:

$d_2 = \frac{88}{11}$

Perform the division:

$d_2 = 8$

Therefore, the length of the short diagonal is 8 inches.