Final answer:
To find the area of the trapezoid, use the formula (base1 + base2) * height / 2. Calculate the other base by subtracting the given portion from the total large base. Plug in the values and solve for the area. The area of the trapezoid is 43.4 square meters. Therefore correct option is B
Step-by-step explanation:
To find the area of a trapezoid, we can use the formula: Area = (base1 + base2) * height / 2.
Given that the short base is 3 meters, the height is 6.2 meters, and the portion of the large base from the left vertex to the perpendicular is 4 meters, we can determine the other base by subtracting the given portion from the total large base:
base2 = total large base - left portion - right portion.
Plugging in the values we have, we get: base2 = 7 meters - 4 meters = 3 meters.
Now we can calculate the area: Area = (3 meters + 4 meters) * 6.2 meters / 2
= 7 meters * 6.2 meters / 2
= 43.4 square meters.
Therefore, the area of the trapezoid is 43.4 square meters.