The are of this shape is 24 square unite

We have the following system of equations:
 y = x ^ 2 + 3x-5
 y = 4x + 1
 Equating the equations:
 x ^ 2 + 3x-5 = 4x + 1
 Rewriting:
 x ^ 2-x-6 = 0
 Factoring:
 (x-3) (x + 2) = 0
 Solutions:
 x = 3 and x = -2
 We evaluate the function for:
 x = 3
 y = (3) ^ 2 + 3 (3) -5 = 13
 y = 4 (3) +1 = 13
 x = -2
 y = (- 2) ^ 2 + 3 (-2) -5 = -7
 y = 4x + 1 = -7
 The solutions are:
 (-2, -7) and (3, 13)
 
 Seth's solution is NOT correct