trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units 12…

Explanation:

Step1: Identify base lengths and height

Let the parallel - sides (bases) of the trapezoid be $b_1$ and $b_2$, and the height be $h$. By counting the grid - squares, if we assume each grid - square has a side - length of 1 unit. The lengths of the parallel sides and the height can be determined. The lengths of the parallel sides: Let $b_1 = 4$ units and $b_2 = 6$ units, and the height $h = 2$ units.

Step2: Apply the trapezoid area formula

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$. Substitute $b_1 = 4$, $b_2 = 6$, and $h = 2$ into the formula: $A=\frac{(4 + 6)\times2}{2}$. First, calculate the sum of the bases: $4+6 = 10$. Then, multiply by the height: $10\times2=20$. Finally, divide by 2: $\frac{20}{2}=10$.

Answer:

10 square units