Question

find the area of the trapezoid. (1 point) area = units²

Explanation:

Step1: Identify trapezoid parameters

The formula for the area of a trapezoid is $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases). From the graph, the two parallel sides (bases) are the top base (from (1,2) to (5,2)) and the bottom base (from (0,0) to (6,0)). The length of the top base $b_1$: distance between (1,2) and (5,2) is $5 - 1 = 4$. The length of the bottom base $b_2$: distance between (0,0) and (6,0) is $6 - 0 = 6$. The height $h$: the vertical distance between the two bases, which is the y - coordinate of the top base (since the bottom base is on the x - axis), so $h = 2$.

Step2: Apply the trapezoid area formula

Substitute $b_1 = 4$, $b_2 = 6$, and $h = 2$ into the formula $A=\frac{1}{2}(b_1 + b_2)h$.
First, calculate $b_1 + b_2$: $4+6 = 10$.
Then, multiply by $\frac{1}{2}$ and $h$: $A=\frac{1}{2}\times10\times2$.
$\frac{1}{2}\times10 = 5$, and $5\times2=10$.

Answer:

10