Final answer:
To find the area of a trapezoid, use the formula Area = ((b1 + b2) / 2) * h. In this case, with bases of 8 and 10 + x and an area of 52, the equation becomes 52 = (18 + x) / 2 * h. However, without the height value, we cannot determine the value of x or h.
Step-by-step explanation:
To find the area of a trapezoid, you can use the formula:
Area = ((b1 + b2) / 2) * h
where b1 and b2 are the bases of the trapezoid and h is the height. In this case, the given bases are 8 and 10 + x, and the area is 52. Substituting these values into the formula:
52 = ((8 + (10 + x)) / 2) * h
Simplifying this equation:
52 = (18 + x) / 2 * h
Multiplying both sides by 2:
104 = 18 + x * h
Subtracting 18 from both sides:
86 = x * h
Since the height of the trapezoid is not given, we cannot determine the value of x or h. Therefore, none of the given options A, B, C, or D can be the correct answer.