To find the closest approximate length of one of the sides of a square garden with an area of 147 square feet, we can use the formula for the area of a square:
\[ \text{Area} = \text{side}^2 \]
To find the length of one side, we can rearrange this formula:
\[ \text{side} = \sqrt{\text{Area}} = \sqrt{147} \]
Calculating the square root of 147 gives us:
\[ \sqrt{147} \approx 12.12 \text{ feet} \]
So the closest approximate length of one of the sides is about 12.1 feet.
Next, to find the approximate perimeter of the garden, we can use the formula for the perimeter of a square:
\[ \text{Perimeter} = 4 \times \text{side} \]
Using our approximate side length:
\[ \text{Perimeter} \approx 4 \times 12.12 \approx 48.48 \text{ feet} \]
So the approximate perimeter of the garden is about 48.5 feet.
Answers:
- Closest approximate length of one of the sides: 12.1 feet
- Approximate perimeter of the garden: 48.5 feet