Area of a L-shaped room calculator

Enter the dimensions of a L-shaped room and read off its area, its perimeter and the quantities that follow from them.

Area
21m²
= Exact Area of a L-shaped room
Perimeter
20
Area removed
3
Show the working
  1. Overall length = 6
  2. Overall width = 4
  3. Cut-out length = 2
  4. Cut-out width = 1.5
  5. Area = 6*4 - 2*1.5 = 21
  6. Perimeter = 2*(6 + 4) = 20
  7. Area removed = 2*1.5 = 3

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • area = overall rectangle - cut-out rectangle
    • the perimeter of an L is the same as its bounding rectangle

    The perimeter really is unchanged by the notch: the two inward edges replace exactly the two they removed.

    Lengths are entered in metres by default; switch any field to feet, inches or millimetres and the conversion is exact.

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