Question

in the kite, ac = 10 and bd = 6. what is the area of kite abcd? 15 square units 30 square units 45 square units 60 square units

Explanation:

Step1: Recall kite area formula

The area of a kite is given by $\frac{1}{2} \times d_1 \times d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Substitute given values

Here, $d_1 = AC = 10$ and $d_2 = BD = 6$. Substitute into the formula:
$\text{Area} = \frac{1}{2} \times 10 \times 6$

Step3: Calculate the result

First compute $10 \times 6 = 60$, then multiply by $\frac{1}{2}$:
$\text{Area} = \frac{1}{2} \times 60 = 30$

Answer:

30 square units