What is the area of the rectangle?

1. Identify the vertices of the rectangle: The rectangle is plotted on a coordinate plane. We need to identify the coordinates of its corners. Observing the graph, the vertices appear to be at $(-2, 1)$, $(3, 1)$, $(3, -1)$, and $(-2, -1)$.

1. Determine the length of the sides: The length of the horizontal sides can be found by subtracting the x-coordinates of two vertices that share the same y-coordinate. For example, using $(-2, 1)$ and $(3, 1)$, the length is $3 - (-2) = 3 + 2 = 5$ units.

The length of the vertical sides can be found by subtracting the y-coordinates of two vertices that share the same x-coordinate. For example, using $(3, 1)$ and $(3, -1)$, the width is $1 - (-1) = 1 + 1 = 2$ units.

1. Calculate the area of the rectangle: The area of a rectangle is calculated by multiplying its length by its width. Area = Length × Width.

Area = $5 imes 2$

Area = $10$ square units.