Perimeter = 2L + 2W
2L + 2W = 30
2
L + W = 15
Let Length be X
Width be = 30 - X
Equation: (L) (W) = Area
(x) (15-x) = 54
- x² + 15x - 54 = 0
or
x² -15x + 54 = 0
Factor the quadratic equation:
(x-6) (x-9) = 0
x - 6 = 0 x - 9 = 0
x = 6 x = 9
The dimensions are Length = 9 cm and Width = 6 cm
