Final answer:
The perimeter of the shape with the given vertices is 20 units, calculated by adding the lengths of the horizontal and vertical sides.
Step-by-step explanation:
To find the perimeter of the shape with vertices at (-5, 2), (-5, -3), (-10, -3), and (-10, 2), we need to calculate the distances between adjacent vertices. Since these points form a rectangle with sides parallel to the x and y axes, we can simply use the difference in x-coordinates (for horizontal sides) and y-coordinates (for vertical sides) to find the lengths of the sides.
The horizontal sides are between (-5, 2) and (-10, 2), and (-5, -3) and (-10, -3), each having a length of |-5 - (-10)| = |5| = 5 units. The vertical sides are between (-5, 2) and (-5, -3), and (-10, 2) and (-10, -3), each having a length of |2 - (-3)| = |5| = 5 units. Therefore, the perimeter is 2*(length of horizontal side) + 2*(length of vertical side) = 2*5 + 2*5 = 20 units.