A rectangular garden has a length that is 3 times its width. If the diagonal of the garden is 20 meters, what is the area of the garden in square meters?

Curious homeowners and garden enthusiasts across the U.S. are increasingly turning to geometry for practical design inspiration—especially when planning outdoor spaces. One common scenario involves a rectangular garden where the length stretches three times the width, with a diagonal measuring exactly 20 meters. With backyard aesthetics and efficient space use rising in priority, understanding how this design translates to area can inform smarter planning and construction. This guide explores the math behind the garden’s dimensions, answers common questions, and explains why this geometric puzzle remains relevant today.


Understanding the Context

Why This Garden Shape Is Gaining Attention in the U.S.

Rectangular gardens with proportional length-to-width ratios are more than just a design choice—the