Math Lab

Area of an L-Shape

Area · Class V

Combine two rectangles to find the L-area.

6 u
type a value
115
3 u
type a value
115
4 u
type a value
115
2 u
type a value
115
Live values
  • Rect1 area18
  • Rect2 area8
  • Total L-area26
Live readout
Rect1 area18
Rect2 area8
Total L-area26
Rect1 length6 u
Rect1 width3 u
Rect2 length4 u
Rect2 width2 u

Formulas in this lab

  • Rect1 area
    aba\cdot b
  • Rect2 area
    cdc\cdot d
  • Total L-area
    ab+cdab + cd
Tip: Split tricky shapes into rectangles, find each area, add!

Frequently asked questions

How do we find the area of an L-shape?

Split the L into two rectangles, find each area, then add them. For example, a big 10 by 4 rectangle plus a small 3 by 2 rectangle gives 40 plus 6, so the L-area is 46 square units.

How do I use this lab?

Pick the sides of the L using the sliders. The lab draws the L, splits it into two rectangles with a dotted line, and adds their areas to give the total.

When is L-shape area useful?

Many flats in India have L-shaped halls or balconies. To buy floor tiles or carpet for such a room, you need the L-area, not just a simple rectangle.

Tip for tricky shapes

Any shape made of straight lines can be split into rectangles or triangles. Find each small area first, then add. This split-and-add trick works even for complicated room plans.