Question

A square garden has an area of 147 square feet. What is the closest approximate length of one of the sides? What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?

10 ft
12 ft
11 ft
13 ft
36 ft of fencing
24 ft of fencing
49 ft of fencing
52 ft of fencing

Answer 1

To find the length of one side of a square garden given its area, you can use the formula for the area of a square, which is:

\[
\text{Area} = \text{side}^2
\]

Given that the area is 147 square feet, you need to calculate the side length:

\[
\text{side} = \sqrt{147}
\]

Calculating this gives:

\[
\text{side} \approx 12.124 \text{ feet}
\]

So, the closest approximate length of one of the sides is **12 feet**.

Next, to find the perimeter of a square garden, you can use the formula for the perimeter:

\[
\text{Perimeter} = 4 \times \text{side}
\]

Using the approximate side length we just calculated:

\[
\text{Perimeter} \approx 4 \times 12.124 \approx 48.496 \text{ feet}
\]

Rounding this gives approximately **49 feet of fencing** needed to go around the garden.

So, the answers are:
- Side length: **12 ft**
- Perimeter: **49 ft of fencing**