Question

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

Explanation:

Step1: Determine the base and height

From the graph, the base \( b\) of parallelogram \( RSTU\) (distance between \( U(-3, - 1)\) and \( S(4,-1)\)) is \( |4-(-3)|=7\) units. The height \( h\) (vertical distance from the base) is \( |2 - (-2)| = 4\) units.

Step2: Use the formula for the area of a parallelogram

The formula for the area of a parallelogram is \( A=b\times h\). Substitute \( b = 7\) and \( h=4\) into the formula: \( A=7\times4\).

Step3: Calculate the area

\( A = 28\)

Answer:

28 square units