Answer:
Length = 14 inches
Width = 3 inches
Step-by-step explanation:
length * width = area
(x + 8 ) (x - 3) = 42
Use FOIL method
x*x - x*3 + 8*x - 8*3 = 42
x² -3x + 8x - 24 = 42
x² + 5x - 24 - 42 = 0
x² + 5x - 66 = 0
Sum = 5
Product = 66
Factors = 11 , (-6)
x² + 5x -66 = 0
x² + 11x - 6x - 6*11 =0
x(x + 11) - 6(x + 11) = 0
(x + 11) (x -6) = 0
x + 11 is ignored because length and width will not have negative value.
x - 6 = 0
x = 6
Length = x + 8 = 6 + 8 = 14 inches
Width = x - 3 = 6 - 3 = 3 inches
