A rectangular garden has a length of 15 meters and a width that is 3 meters less than the length. If the garden is expanded by increasing both dimensions by 2 meters, what is the new area of the garden?

Rectangular Garden Expansion: How Increasing Dimensions Boosts Garden Area

A well-planned rectangular garden not only enhances your outdoor space but also contributes to a healthier, more beautiful environment. Take, for example, a rectangular garden with a length of 15 meters and a width 3 meters shorter than its length. If this garden is expanded by increasing both dimensions by 2 meters, what is the new area? Let’s explore the math behind this transformation and why garden expansion matters.

Understanding the Original Garden

Understanding the Context

First, determine the original dimensions:

Length = 15 meters
Width = Length – 3 meters = 15 – 3 = 12 meters

The original area is calculated by multiplying length and width:
Area = Length × Width = 15 × 12 = 180 square meters

Expanding the Garden

A rectangular garden has a length of 15 meters and a width that is 3 meters less than the length. If the garden is expanded by increasing both dimensions by 2 meters, what is the new area of the garden?

Key Insights

Now, the garden is expanded by increasing both dimensions by 2 meters:

New Length = 15 + 2 = 17 meters
New Width = 12 + 2 = 14 meters

Calculating the New Area

To find the new area, multiply the updated length by the updated width:
New Area = 17 × 14

To simplify:
17 × 14 = (10 + 7) × (10 + 4) = 10×10 + 10×4 + 7×10 + 7×4 = 100 + 40 + 70 + 28 = 238 square meters

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Final Thoughts

Why Expand a Garden?

Expanding garden size offers multiple benefits:

More space for planting vegetables, flowers, or herbs
Improved aesthetic appeal and natural ambiance
Greater area for relaxation and outdoor activities
Better biodiversity by accommodating diverse plant species

Additionally, increasing the garden by even just 2 meters on all sides significantly improves usable space—going from 180 m² to 238 m², an increase of 58 m².

Conclusion

A rectangular garden with a length of 15 meters and width 12 meters expands to 17 meters by 14 meters when enlarged by 2 meters on each side, resulting in a new total area of 238 square meters. Whether for practical gardening needs or enhancing outdoor living, strategic expansion transforms a modest plot into a more productive and beautiful space.

For anyone planning garden improvements, understanding how dimension changes affect area helps optimize space—maximizing both function and beauty. Start small, think big, and watch your garden grow.