Question

Find the approximate side length of a square game board with an area of 179in ^2.

Answer 1

13.38 in

Explanation:

The area of a square can be found using the following formula.

`a=s^2`

where a is the area and s is the side length.

We know that the area of the square is 179 in^2. We can substitute that value in for a.

`179 in^2=s^2`

We want to find the side length. Therefore, we have to isolate the variable, s.

s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

`√(179 in^2)=√(s^2)`

`√(179 in^2)=s`

`13.3790882 in =s`

We want to find the approximate side length. Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 to a 8,

`13.38 in= s`

The side length of the board game is about 13.38 inches.

Answer 2

Given:-

Area of a square game board = 179 inches ²

To be calculated:-

Calculate the side of given square game board.

Formula applied:-

Area of square = ( Side )²

Solution:-

We know that,

Area of square = ( Side )²

★ Substituting the value in the above formula, we get :

=> 179 = ( Side )²

=> Side = √179

=> Side = 13.37 inches ( approx )