The value of x is 32/3 inches.
To solve for x, we need to use the given information about the sides of the figure ABCD. We are given that side AB is 8 inches, side CD is (x/2) inches, and side AD is (x/4) inches.
Since we know that AB = CD + AD in a square, we can set up the equation 8 = (x/2) + (x/4) and solve for x.
First, we can simplify the equation: 8 = (2x + x) / 4.
This simplifies to 8 = 3x / 4.
Cross-multiplying gives us 32 = 3x, and solving for x, we get x = 32/3 inches.
Therefore, the value of x is 32/3 inches.
The probable question may be:
In a figure ABCD side AB=8 in, CD=(x/2) and Ad=x/4.Solve for x. Calculate the area