Final answer:
The sum of the areas of triangles formed inside a rectangle is equal to the area of the rectangle itself, as each triangle shares a part of the rectangle's dimensions.
Step-by-step explanation:
The relationship between the area of a rectangle and the area of triangles created within it is based on simple geometric principles. When a rectangle is divided into triangles, the sum of the areas of the triangles equals the area of the rectangle. This is because each triangle shares a part of the rectangle's width and height, which are its base and altitude, respectively. To further elaborate, consider a rectangle with length L and width W. If this rectangle is divided into two equal triangles by drawing a diagonal, both triangles will have an area of ½×L×W, which when summed gives the area of the rectangle, L×W.