Let l be the original length
w be the original width
l = 2w
Area of a rectangle = lw
A = (l - 3)(w +2)
But, l = 2w
A = (2w - 3)(w + 2) Applying the FOIL (First, Outer, Inner, Last) Method:
A = 2w^2 + 4w - 3w - 6 But, A = 30
2w^2 + w - 6 = 30
2w^2 + w - 36 = 0
(2w + 9)(w - 4) = 0
2w + 9 = 0
w = -9/2 But, the dimensions of a polygon can't be negatiive!!
w - 4 = 0
w = 4
l = 2w
l = 2*4 = 8
Width = 4cm
Length = 8 cm
