Solve this , find the length and width of the given rectangle

The answer to your question is: l = 13; w = 3

Step-by-step explanation:

Data

Area = 39 cm²

length = l = x + 8

width = w = x - 2

Formula

Area = length x width = l x w

Process

39 = (x + 8) (x - 2)

39 = x² + 6x - 16

x² + 6x - 16 - 39 = 0

x² + 6x - 55 = 0

(x + 11) (x -5) = 0

x1 = -11       x2 = 5       There are no lengths negatives so the right answer is

                                   5.

Length = 5 + 8 = 13 cm

Width = 5 - 2 = 3 cm

Area = (13)(3) = 39 cm²