Question

A square garden needs enough topsoil to cover an area, a, of 131ft2. use the formula s=a‾‾√ to find the length of each side of the garden, s. round your answer to the nearest tenth of a foot. provide your answer below:

Answer 1

The length of each side of the square garden, rounded to the nearest tenth of a foot, is approximately 11.5 feet.

Step-by-step explanation:

To find the length of each side (s) of the square garden, we use the formula
`\(s = √(a)\)`, where (a) is the area of the garden. In this case, the given area is
`\(131 \, \text{ft}^2\).`

Substitute the given value into the formula:

`\[ s = √(131) \]`

Calculate the square root:

`\[ s \approx 11.4455 \]`

Round the answer to the nearest tenth of a foot:

The length of each side, (s), is approximately 11.5 feet.

Therefore, the length of each side of the square garden is 11.5 feet, ensuring that the total area covered by the topsoil is 131 square feet. This rounded value represents a practical measurement for the length of the sides of the garden.