What is the area of the rectangle with vertices (-1, -2), (4, -2), (4, 2), and (-1, 2) square units

To find the area of the rectangle, we first need to determine the lengths of its sides.

1. Length: The distance between the x-coordinates of the vertices can be calculated. The rectangle has vertices at (-1, -2) and (4, -2). The length is:

[

text{Length} = 4 – (-1) = 4 + 1 = 5 text{ units}

]

2. Width: The distance between the y-coordinates of the vertices can also be calculated. Taking the y-coordinates of the vertices (4, 2) and (4, -2), the width is:

[

text{Width} = 2 – (-2) = 2 + 2 = 4 text{ units}

]

3. Area: The area of a rectangle is calculated by multiplying the length and the width:

[

text{Area} = text{Length} times text{Width} = 5 text{ units} times 4 text{ units} = 20 text{ square units}

]

Thus, the area of the rectangle is 20 square units.