square frame occupies area of
112 ft ^2. what is the length of each side of the picture in simplified radical form?
x^2 = 112
x = sqrt(112)
x = sqrt ( 16 * 7 ) = 4 sqrt 7
To find the length of each side of the square frame, we need to calculate the square root of the area.
Given that the area is 112 ft^2, we can assign the side length as 's'.
The formula for the area of a square is A = s^2. Therefore, we have s^2 = 112.
To find the value of 's', we need to take the square root (√) of both sides of the equation.
√(s^2) = √112.
Since we are looking for the length of each side in simplified radical form, the square root of 112 cannot be simplified further.
Therefore, the length of each side of the square frame, in simplified radical form, is √112 ft.