Question

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

Explanation:

Step1: Identify base and height

From the graph, the base of parallelogram RSTU can be considered as the horizontal distance between U(-3, - 1) and S(4,-1). The length of the base $b$ is calculated as $|4 - (-3)|=7$. The height $h$ is the vertical distance from the line containing U and S to R(-3,2), which is $|2-(-1)| = 3$.

Step2: Apply area formula

The area formula of a parallelogram is $A = b\times h$. Substitute $b = 7$ and $h = 3$ into the formula, we get $A=7\times3 = 21$.

Answer:

21 square units