The area of a square is 40 in². If the length of each side of the square is 2x in., what is the value of x?
well, (2x)^2 = 40, right?
so, ...
Would you divide 40 by 2? Then, that would be 20. So, it is now x²=20. Would you then find the square root of 20?
no, (2x)^2 = (2x)(2x) = 4x^2, so
4x^2 = 40
x^2 = 10
x = √10
or, you could work it by doing this:
area is 40, so side is √40
2x = √40 = 2√10
so, x=√10
To find the value of x, we need to solve the equation for the area of a square. The area of a square is found by multiplying the length of one side by itself.
Given that the area of the square is 40 in², we can write the equation as:
(2x) × (2x) = 40
Simplifying the equation:
4x^2 = 40
Now, divide both sides of the equation by 4:
x^2 = 10
To solve for x, take the square root of both sides:
√(x^2) = √10
Since we are looking for a positive value for x, we can write the equation as:
x = √10
Therefore, the value of x is approximately equal to the square root of 10.