Final answer:
The area of the rectangular garden is calculated by multiplying the width (12.3 m) by the length (18.7 m), resulting in 229.91 square meters. The perimeter, which might represent the total length of the fence, is calculated with the formula 2 × (length + width), equaling 62 meters.
Step-by-step explanation:
The question asks for the area of the fence, which seems to be a typo. Since fences are typically measured by their perimeter, not area, I will provide the calculation for both the area of the rectangular garden and its perimeter.
To calculate the area of a rectangle, you multiply the width by the length. Therefore, the area of the rectangular garden is:
Area = width × length
Area = 12.3 meters × 18.7 meters
Area = 229.91 square meters
Now, to calculate the perimeter (which might be what was intended when referring to the area of the fence), you add up all the sides of the rectangle, or use the formula Perimeter = 2(length + width).
Here's how that works for the garden:
Perimeter = 2 × (18.7 meters + 12.3 meters)
Perimeter = 2 × (31 meters)
Perimeter = 62 meters
So the garden's perimeter, which could represent the total length of the fence enclosing the garden, is 62 meters.