Question

Find the approximate side length of a square game board with an area of 160 in^2 to the nearest whole inch

Answer 1

The formula for the area of a square is
`l^2=A`.

So, when
`l` is the side of the square game board,


`160=l^2 \\ √(160)=l \\ 4√(10)=l \\ 12.64911\approx l`

Answer 2

The equation for the area of a square is
`A = s^(2)`, where A = area of the square and s = side length.

Since you know that the area is A = 160 in^2, you can plug that into the equation and solve for s:

`A = s^(2)\\ 160 = s^(2)\\ √(160) = s\\ s = 12.649 \approx 13 \: in`

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Answer: 13 inches