Solution**: Let the width of the rectangle be \( w \). Then the length is \( 2w \).

Sun, 03 May 2026 15:11:59 +0000

Understanding Rectangle Dimensions: Let the Width Be \\( w \\), Then the Length Is \\( 2w \\) When studying geometry, one of the most fundamental concepts is defining the relationship between a rectangle’s width and length. A clear and practical way to express these dimensions is by letting the width be \\( w \\), which immediately defines the length as \\( 2w \\). This ratio creates a simple yet powerful example of proportional relationships found in everyday objects and design. ### What Does It Mean for Length to Be \\( 2w \\)?
If the width of a rectangle is \\( w \\), assigning the length as \\( 2w \\) means the length is exactly double the width. This proportional relationship is evident when visualizing the rectangle’s area, perimeter, and overall proportions. Such a ratio is not arbitrary—it commonly appears in architectural elements, graphic design layouts, and structural applications where extended width enhances functionality or aesthetics. ### Calculating Key Rectangle Properties
Understanding how \\( w \\) and \\( 2w \\) affect the rectangle’s measurable properties simplifies geometry calculations: