Final answer:
The correct equation to find the height of a trapezoid given the area and the lengths of the two bases is h = 2A / (b1 + b2), which is not presented in the given options.
Step-by-step explanation:
To find the height of a trapezoid given the area and the lengths of the two bases, we can use the area formula for a trapezoid which is A = ½ × (b1 + b2) × h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height. To solve for h, we rearrange the formula to get h = ×2A / (b1 + b2). Thus, none of the options a), b), c), or d) provided is correct. However, the equation closest to the correct formula is modified as follows:
Correct Equation : h = 2A / (b1 + b2)
Using this correct equation, we can calculate the height when the area and base lengths are known.