A square and a rectangle have the same perimeter. The squares side length is 10 units. The rectangles length is 14 units. What is the rectangles width?

Sun, 03 May 2026 14:55:00 +0000

**A square and a rectangle have the same perimeter. The square’s side is 10 units. The rectangle’s length is 14 units. What is the rectangle’s width?** Ever wondered how geometry shapes the way we understand space and efficiency—especially when two familiar shapes share a surprising connection? The question of a square and a rectangle with equal perimeters—specifically, a square with a 10-unit side and a rectangle stretching to 14 units long—has quietly gained attention among curious learners, educators, and design enthusiasts in the U.S. As people explore practical applications in architecture, interior planning, and even budgeting, understanding this relationship offers surprising clarity and relevance. ### Why A Square and a Rectangle Share the Same Perimeter Is More Than Just Math This geometric puzzle isn’t just a classroom exercise—it reflects a broader interest in symmetry, efficiency, and equal resource use. The square, defined by equal sides and perfect balance, contrasts with the rectangle’s flexibility, yet both maintain identical perimeters when balanced properly. With the square’s side fixed at 10 units, its perimeter is fixed at 40 units. For the rectangle, knowing its length—14 units—lets us calculate its width not with guesswork, but through logic: since perimeter equals two times (length plus width), solving simple algebra reveals the width must be approximately 6 units. This blend of structure and adaptability mirrors real-world trade-offs in design and space planning.