Understanding L-Shape Decomposition

An L-shape is a non-convex composite polygon. Because it is not a standard primitive shape, there is no single formula for its area. Instead, we use decomposition.

By dividing the L-shape into two simpler rectangles, we can calculate the area of each rectangle separately and add them together to obtain the total area.

\text{Total Area} = (L_1 \times W_1) + (L_2 \times W_2)

Alternative Decomposition

Although this tool decomposes the shape by splitting it vertically into a left and right rectangle, you can also split it horizontally into a top and bottom rectangle.

No matter which direction you split the shape, the sum of the components will always yield the exact same total area.