Question

Find the area of the kite PQRS with P(5,0), Q(8,6), R(5,8) and S(2,6)?

Answer 1

`S_("Kite PQRS") = 24 sq. units`

Explanation:

Since the formula of a kite's area is
`S=(1/2)d1*d2`
where
`d1="kite's long diagonal"`
`d2="kite's short diagonal"`
we need to know the length of the diagonals.

In the kite PQRS the diagonals are PR and QS:
`PR=sqrt((5-5)^2+(8-0)^2)=8`
`QS=sqrt((2-8)^2+(6-6)^2)=6`

So
`S=(1/2)d1*d2=(1/2)8*6=24`