Basic Level

Areas

A kite is a quadrilateral with two pairs of consecutive equal sides. Therefore, the kite diagonals are perpendicular.

**How can we calculate the area of a kite?**

The application allows to reach the formula of the area of a kite using the construction of a rectangle.

**What is the relation between the area of the kite [ABCD] and the area of the rectangle [ACO” _{2}O”_{1}]?**

The area of the kite [ABCD] is equal to the area of the rectangle [ACO”_{2}O”_{1}].

**So what formula do we get for calculating the area of [ABCD]?**

$$Area\ of\ the\ kite = d_1 \times {d_2 \over 2} = {d_1 \times d_2 \over 2},$$that is, the area of the kite is half the product of the lengths of its diagonals.