Rectangle Formulas
2D Shapes
Rectangle
- Area
- A = l × w
- Perimeter
- P = 2(l + w)
- Diagonal
- d = √(l2 + w2)
- l length
- w width
Rectangle formulas explained
A rectangle has opposite sides equal and four right angles. Its diagonal follows from the Pythagorean theorem. Below are all the rectangle formulas with what each letter means, a worked example and a free calculator.
- Area:
A = l × w - Perimeter:
P = 2(l + w) - Diagonal:
d = √(l² + w²)
Rectangle calculator
Live calculator
Rectangle calculator
Worked example: area of a rectangle
Given Length l = 8 cm, Width w = 5 cm, substitute the values into each rectangle formula:
- A = 8 × 5 = 40 cm²
- P = 2(8 + 5) = 26 cm
- d = √(8² + 5²) = 9.43 cm
Rectangle Formula SheetFormulas, variables, a worked example and practice questions with answers.Download PDFOpen
Rectangle formulas FAQ
What is the formula for the area of a rectangle?
The area of a rectangle is A = l × w, where l is the length, w is the width.
What is the formula for the perimeter of a rectangle?
The perimeter of a rectangle is P = 2(l + w), where l is the length, w is the width.
What is the formula for the diagonal of a rectangle?
The diagonal of a rectangle is d = √(l² + w²), where l is the length, w is the width.
Can I download the rectangle formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable rectangle formula sheet with a worked example and practice questions.
More geometry formulas
2D ShapesSquare FormulasA = a²2D ShapesRectangle FormulasA = l × w2D ShapesTriangle FormulasA = ½ b h2D ShapesEquilateral Triangle FormulasA = (√3 ⁄ 4) a²2D ShapesCircle FormulasA = πr²2D ShapesEllipse FormulasA = πab2D ShapesParallelogram FormulasA = b × h2D ShapesTrapezoid FormulasA = ½ (a + b) h2D ShapesRhombus FormulasA = ½ p q2D ShapesSector of a Circle FormulasA = (θ ⁄ 360) πr²2D ShapesRegular Polygon FormulasA = n s² ⁄ (4 tan(π⁄n))
