Calculate the Area of a Deltoid Stage: 30m × 20m Field Problem

A deltoid (also called a kite) is a quadrilateral with two pairs of adjacent sides that are equal. It looks like a diamond or kite shape with perpendicular diagonals.

The diagonals split the deltoid into 4 right triangles. Each triangle has area $\frac{1}{2} \times \frac{d_1}{2} \times \frac{d_2}{2}$. Adding all 4 triangles gives $\frac{d_1 \times d_2}{2}$.

Look for the two lines that cross inside the deltoid. In this problem, one diagonal is horizontal (20m) and the other is vertical (30m), and they're perpendicular.

Yes! Both deltoids and rhombuses use the same area formula: $\frac{d_1 \times d_2}{2}$. The key is that their diagonals are perpendicular.

The position doesn't matter for area calculation! As long as you know the diagonal lengths, use $\frac{d_1 \times d_2}{2}$ regardless of where the deltoid sits in the field.