Question

Question

A square garden has an area of 205 square feet.(2 points)
1) What is the approximate length of each side of the garden?

2) What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?

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Answer 1

To find the length of each side of the square garden and the perimeter, you can use the following formulas:

1. The area \( A \) of a square is given by the formula: \[ A = s^2 \] where \( s \) is the length of each side. To find the side length, you can rearrange the formula: \[ s = \sqrt{A} \] Substituting the area: \[ s = \sqrt{205} \approx 14.32 \text{ feet} \]

2. The perimeter \( P \) of a square is given by the formula: \[ P = 4s \] Now substituting the value of \( s \): \[ P = 4 \times 14.32 \approx 57.28 \text{ feet} \]

So, the approximate answers are:

1. The length of each side of the garden is approximately 14.32 feet.
2. The approximate perimeter of the garden is 57.28 feet.