what is the area of parallelogram rstu?\n21 square units\n24 square units\n28 square units\n32 square units

what is the area of parallelogram rstu?\n21 square units\n24 square units\n28 square units\n32 square units

what is the area of parallelogram rstu?\n21 square units\n24 square units\n28 square units\n32 square units

Answer

Explanation:

Step1: Identify base and height

Count the horizontal distance for base and vertical distance for height on the grid. The base of parallelogram RSTU can be considered as the horizontal distance between U(-3,-1) and S(4, -1), which is $|4 - (-3)|=7$ units. The height is the vertical distance from R(-3,2) to U(-3,-1), which is $|2-(-1)| = 3$ units.

Step2: Apply area formula

The area formula for a parallelogram is $A = b\times h$, where $b$ is the base and $h$ is the height. Substitute $b = 7$ and $h = 3$ into the formula: $A=7\times3 = 21$ square units.

Answer:

21 square units