Square
Area and perimeter, with the formula worked through and a drawing to scale.
Result
- Area
- 16 sq ft
- = 16 sq ft · 1.4864 m²
- Perimeter
- 16 ft
- = 16 ft · 4.8768 m
- Diagonal
- 5.6569 ft
The working
Area: A = a²
Perimeter: P = 4a
A = a² = 4² = 16 P = 4a = 4 × 4 = 16
Values in feet; areas in sq ft.
About the square
All four sides equal and every corner a right angle. The diagonal is a√2 — the reason a 4-foot square measures about 5′ 7⅞″ corner to corner.
Every formula on this site is explained step by step in Learn: area and perimeter.
Other shapes
Rectangle Parallelogram Rhombus Trapezoid (trapezium) Kite 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