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