Question

Find the area of the quadrilateral QRST by using the formula for the area of a kite. 5 units2 16 units2 10 units2 15 units2

Answer 1

15 units^2

Explanation:

The area of a kite is half the product of its diagonals. Here, we need to us the distance formula to find the lengths of the diagonals.

QS = √(3^2 +3^2) = 3√2

TR = √(5^2 +5^2) = 5√2

Then the area is ...

A = (1/2)(QS)(TR) = (1/2)(3√2)(5√2) = 15

The area of QRST is 15 square units.