Question

determine the area of the kite shown to the right. the area of the kite is (simplify your answer.)

Explanation:

Step1: Recall the area formula for a kite

The area formula for a kite is $A=\frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals of the kite.

Step2: Identify the diagonals

From the figure, the lengths of the diagonals are $d_1 = 7 + 4=11$ ft and $d_2 = 4$ ft.

Step3: Calculate the area

Substitute $d_1 = 11$ ft and $d_2 = 4$ ft into the formula: $A=\frac{1}{2}\times11\times4$.
$A = 22$ ft².

Answer:

22 ft²