Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,
where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that ,
and
Substituting these values in the formula, we have,
Simplifying the terms, we have,
Multiplying the terms in the numerator, we have,
Dividing, we get,
Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.