What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (4, −2) , (5, 1) , (2, 3) , (−1, 1) enter your answer in the box.

The area is 24 units^2

See attached picture:

Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46