A rectangular garden is 5 times as long as it is wide. If the perimeter is 180 meters, what is the area of the garden? - Treasure Valley Movers

A Rectangular Garden Is 5 Times as Long as It Is Wide. If the Perimeter Is 180 Meters, What Is the Area of the Garden?

Curious about how garden design and math come together? A rectangular garden that’s five times longer than it is wide—with a perimeter of 180 meters—quickly reveals insightful geometry and real-world application. As home gardeners and landscape planners increasingly prioritize efficient use of space and sustainability, problems involving proportional rectangles are gaining quiet popularity online. This particular question isn’t just math—it’s a gateway into understanding proportions that shape functional outdoor spaces.

Given the bed’s length is five times its width, we begin by translating that ratio into measurable steps. Let the width be w meters; then the length is 5w meters. The perimeter formula for any rectangle—2(length + width)—yields:
2(5w + w) = 180
This simplifies to 2(6w) = 180 → 12w = 180 → w = 15.
With a width of 15 meters, the garden stretches