Question

Identify the area of the trapezoid.

Answer 1

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,

$Area=\frac{h}{2} (a+b)$

where h is the height, a and b are the base of the trapezoid.

From the figure, it is obvious that $a=14$ , $b=7$ and $h=15$

Substituting these values in the formula, we have,

$Area=\frac{15}{2} (14+7)$

Simplifying the terms, we have,

$Area=\frac{15}{2} (21)$

Multiplying the terms in the numerator, we have,

$Area=\frac{315}{2}$

Dividing, we get,

$Area= 157.5 \ m^2$

Thus, the area of the trapezoid is 157.5 m²

Hence, Option B is the correct answer.