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,
[tex]Area=\frac{h}{2} (a+b)[/tex]
where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that [tex]a=14[/tex] , [tex]b=7[/tex] and [tex]h=15[/tex]
Substituting these values in the formula, we have,
[tex]Area=\frac{15}{2} (14+7)[/tex]
Simplifying the terms, we have,
[tex]Area=\frac{15}{2} (21)[/tex]
Multiplying the terms in the numerator, we have,
[tex]Area=\frac{315}{2}[/tex]
Dividing, we get,
[tex]Area= 157.5 \ m^2[/tex]
Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
