Subjects geometry

Rectangle Reordering

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Rectangle Reordering


1. Let's clarify the problem first: if you have a rectangle and you reorder or rearrange its dimensions, does it change its area or other properties? 2. The area of a rectangle is calculated by multiplying its length and width: $$\text{Area} = \text{length} \times \text{width}$$. 3. Reordering the rectangle's sides means you swap the length and width, or you arrange the rectangle differently, but the dimensions themselves do not change. 4. Since multiplication is commutative, $$\text{length} \times \text{width} = \text{width} \times \text{length}$$, so the area remains the same regardless of order. 5. Hence, reordering the rectangle to fit into smaller or longer combinations doesn't affect the area or the fundamental answer regarding size. 6. However, depending on the context (like fitting pieces together), orientation might matter for practical layout but mathematically the rectangle's area remains unchanged.