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