Question

Find the approximate side length of a square game board with an area of 164 in^2.

Answer 1

To approximate the side length of a square with an area of 164 in², calculate the square root of 164, resulting in approximately 12.8 inches.

Step-by-step explanation:

To find the approximate side length of a square game board with an area of 164 in², we need to take the square root of the area because the area of a square is equal to the side length squared. So, the calculation would be √164 in². Using a calculator, we can find that the approximate side length is 12.8 inches.

Answer 2

12.81 inches

Step-by-step explanation:

To find the approximate side length of a square game board with an area of 164 square inches, we can use the formula for the area of a square:

`\sf \textsf{Area} = \textsf{Side Length}^2`

In this case, the area (
`\sf \textsf{Area}`) is given as 164 square inches.

Let's denote the side length as
`\sf s`. The formula becomes:

`\sf 164 = s^2`

To find
`\sf s`, we take the square root of both sides of the equation:

`\sf s = √(164)`

Calculating this, we get:

`\sf s \approx 12.806248474865`

`\sf s \approx 12.81 \textsf{ ( in 2 d.p.)}`

So, the approximate side length of the square game board is about 12.81 inches.