Kite
Area and perimeter, with the formula worked through and a drawing to scale.
Result
- Area
- 30 sq ft
- = 30 sq ft · 2.7871 m²
- Perimeter
- 23.5902 ft
- = 23.5902 ft · 7.1903 m
- Short side a
- 4.4845 ft
- Long side b
- 7.3106 ft
The working
Area: A = p × q ÷ 2
Perimeter: P = 2(a + b)
A = p × q ÷ 2 = 10 × 6 ÷ 2 = 30 a = √((q/2)² + x²) = 4.4845, b = √((q/2)² + (p − x)²) = 7.3106 P = 2(a + b) = 23.5902
Values in feet; areas in sq ft.
About the kite
Two pairs of equal sides next to each other. Like the rhombus, the diagonals cross square, so the area is half their product; the sides come from Pythagoras.
Every formula on this site is explained step by step in Learn: area and perimeter.
Other shapes
Square Rectangle Parallelogram Rhombus Trapezoid (trapezium) Triangle — three sides Triangle — base and height Right triangle Isosceles triangle Equilateral triangle Triangle — two sides and the angle between Circle Semicircle Quarter circle Sector (pie slice) Circular segment (arch) Ring (annulus) Ellipse (oval) Regular polygon (pentagon, hexagon, octagon…) L-shape Any polygon — by corner points