Question

Find the area of the kite.

Answer 1

Given the Kite ABCD.

We want to find the Area of the Kite.

Recall that the Area of a Kite can be expressed as;

`A=(pq)/(2)`

Where;

p and q are the diagonals of the Kite.

For the given Kite, the diagonals of the kite are;

AC and BD.

`\begin{gathered} AC=5-(-2)=5+2 \\ AC=7\text{ units} \end{gathered}`
`\begin{gathered} BD=5-1 \\ BD=4\text{ units} \end{gathered}`

So,

p = AC = 7 units

q = BD = 4 units

Substituting into the formula, we have;

`\begin{gathered} A=(pq)/(2)=(7*4)/(2)=(28)/(2) \\ A=14\text{ sq units} \end{gathered}`

Therefore, the area of the Kite is;

`14\text{ square units}`