Question

1. parallelogram abcd is shown below: what is the area of parallelogram abcd? a. 24 b. 28 c. 36 d. 38

Explanation:

Step1: Identify base and height

From the graph, we can take the base along the x - axis. The length of the base $b$ between two points on the same horizontal line (e.g., between $A$ and $D$) can be found by calculating the difference in x - coordinates. The height $h$ is the perpendicular distance between the two parallel sides, which is the vertical distance between the two horizontal lines containing the sides. The base $b$: If we consider the points $A(- 4,-1)$ and $D(2,-1)$, then $b=\vert2 - (-4)\vert=6$. The height $h$: The vertical distance from the line $y = - 1$ to $y = 2$ is $h=\vert2-(-1)\vert = 3$.

Step2: Use area formula

The area formula of a parallelogram is $A = b\times h$. Substitute $b = 6$ and $h = 4$ into the formula. $A=6\times4 = 24$.

Answer:

A. 24