Question

Model the following problem with a quadratic equation. Then solve. Find the length of a side of a square with an area of 75 ft2. Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answer 1

x = 8.6603 m

Explanation:

If x is the length of a side of the square, the area of the square will be x^2.

So, if the area of the square is 75 ft2, we can formulate the quadratic equation:

x^2 = 75

Now, solving the equation, we just need to make the square root of 75:

x = sqrt(75) = ±8.6603

x1 = 8.6603

x2 = -8.6603

Now, as x represents the length of a side of the square, and measurements can't be negative, we take only the positive value, so:

x = 8.6603 m