Question

what is the area of the trapezoid?
34 square units
42 square units
84 square units
118 square units

Explanation:

Step1: Identify trapezoid bases and height

Assume we can count grid - squares. Let the lengths of the parallel bases be $b_1$ and $b_2$, and the height be $h$. Suppose by counting the grid - squares, $b_1 = 6$, $b_2 = 8$, and $h = 6$.

Step2: Apply trapezoid area formula

The area formula of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$. Substitute $b_1 = 6$, $b_2 = 8$, and $h = 6$ into the formula: $A=\frac{(6 + 8)\times6}{2}=\frac{14\times6}{2}=42$.

Answer:

42 square units