why does lxw=a work

The equation lxw = a is a basic equation that represents the area of a rectangle. In this equation, "l" represents the length of the rectangle, "w" represents the width of the rectangle, and "a" represents the area of the rectangle.

To understand why this equation works, we need to understand the concept of area. The area of a rectangle is calculated by multiplying its length by its width. By multiplying l and w together, we get the total area of the rectangle.

For example, let's say we have a rectangle with a length of 4 units and a width of 3 units. We can represent this rectangle as:

l = 4
w = 3

To find the area (a), we can use the equation lxw = a:

4 x 3 = 12

So, the area of the rectangle is 12 square units.

In summary, the equation lxw = a works because it represents the multiplication of the length and width to calculate the area of a rectangle.