Original:
The width and length of a rectangle are consecutive odd integers
so W = x and L = x + 2
If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
x = 5 and x = -12
From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet
Area of original = 5 x 7 = 35
answer
the area of the original rectangle: 35 ft^2
