Final answer:
To determine the value of x, add up the areas of all the rectangles and set it equal to 78 square inches. Solve the equation to find the value of x.
Step-by-step explanation:
To determine the value of x, you need to add up the areas of all the rectangles and set it equal to 78 square inches. Let's say the lengths of the rectangles are a, b, c, and d. The equation would be: a^2 + ab + bc + cd = 78. Then, solve the equation to find the value of x.