Question

area of special quadrilaterals
what is the area of the kite?
21 square feet
84 square feet
40 square feet
42 square feet

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.

Step2: Identify the diagonals

From the problem, \(d_1 = 6\) ft and \(d_2=14\) ft.

Step3: Substitute into the formula

Substitute \(d_1 = 6\) and \(d_2 = 14\) into \(A=\frac{1}{2}d_1d_2\). So \(A=\frac{1}{2}\times6\times14\).
First, calculate \(6\times14 = 84\), then \(\frac{1}{2}\times84=42\).

Answer:

42 square feet