Question

what is the area of parallelogram rstu? 32 square units 21 square units 28 square units 24 square units

Explanation:

Step1: Identify base and height

From the graph, if we consider the vertical - distance between two parallel sides as the height and the horizontal - distance along the base. The base of the parallelogram can be found by the horizontal distance between two points on the base - line. The height is the vertical distance between the two parallel sides. Counting the grid - squares, the base $b$ of parallelogram $RSTU$ is 7 units (the horizontal distance between $U$ and $S$: from $x=-3$ to $x = 4$, $|4-(-3)|=7$) and the height $h$ is 4 units (the vertical distance between $R$ and $U$: from $y = 2$ to $y=-2$, $|2 - (-2)|=4$).

Step2: Apply the area formula

The area formula of a parallelogram is $A=b\times h$. Substitute $b = 7$ and $h = 4$ into the formula. So $A=7\times4=28$.

Answer:

28 square units