Final answer:
The area of a rectangle with the specified vertices is calculated by determining its length and width from the coordinates and multiplying them, resulting in 44 square units.
Step-by-step explanation:
The question is asking to calculate the area of a rectangle with given vertices. To find the area of a rectangle, we need to multiply its length by its width. The length can be calculated by determining the distance between two opposite corners horizontally, and the width can be found by determining the distance between two opposite corners vertically.
First, calculate the length by finding the horizontal distance between (-5,1) and (6,-1), which is 11 units (since 6 - (-5) = 11). Then, calculate the width by finding the vertical distance between (-5,1) and (-2,5), which is 4 units (since 5 - 1 = 4). Finally, the area is found by multiplying the length by the width: 11 units × 4 units = 44 square units.