Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the perimeter of the square?

The perimeter of the square LAMP is 8 units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d =

∵ LAMP is a square

∵ The sides of the square are equal in lengths

∴ LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

∴ x1 = -2 and y1 = -3

∴ x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA =

∴ LA =

∴ LA =

∴ LA = =

→ Simplify the root

∴ LA = 2 units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2

∴ The perimeter of the square = 8

∴ The perimeter of the square LAMP is 8 units

answer: about 22.67

step-by-step explanation: