L-Shaped Area Calculator

Formula

The formula to calculate the area of an L-shaped figure is:

\[ A = (l_1 \cdot w_1) + (l_2 \cdot w_2) \]

Where:

A is the total area of the L-shaped figure (square units)
l₁ is the length of the first rectangle (units)
w₁ is the width of the first rectangle (units)
l₂ is the length of the second rectangle (units)
w₂ is the width of the second rectangle (units)

What is an L-Shaped Area?

An L-shaped area refers to a space or region that is shaped like the letter "L". It is typically used in the context of geometry, architecture, or design. To calculate the area of an L-shape, it is usually divided into two rectangles and the areas of these rectangles are calculated separately and then added together.

Example Calculation

Example 1:

Length of first rectangle: 5 units
Width of first rectangle: 3 units
Length of second rectangle: 4 units
Width of second rectangle: 2 units

Calculation:

\[ A = (5 \cdot 3) + (4 \cdot 2) = 15 + 8 = 23 \text{ square units} \]

Example 2:

Length of first rectangle: 6 units
Width of first rectangle: 4 units
Length of second rectangle: 3 units
Width of second rectangle: 2 units

Calculation:

\[ A = (6 \cdot 4) + (3 \cdot 2) = 24 + 6 = 30 \text{ square units} \]