Answer:
See below ~
Step-by-step explanation:
The length and width are x + 6 and x respectively.
Equating to the area :
- Area = length × width
- 112 = (x +6)(x)
- 112 = x² + 6x
- x² + 6x - 112 = 0
- x² + 14x - 8x - 112 = 0
- x(x + 14) - 8(x + 14) = 0
- (x - 8)(x + 14) = 0
- x = 8, because distances are always positive
Dimensions :
- Length = x + 6 = 8 + 6 = 14 mm
- Width = x = 8 mm
