The area of recta

Let original length be L and original breadth be B.

L × B = 500.

Since length decreased by 3m and Breadth increased by 2m gives rise to a square,

L - 3 = B + 2 (Because in a square, L = B)

Or L = B + 5

(B + 5) × B = 500

B² + 5B - 500 = 0

On solving the quadratic equation, we have B = 20 or B = - 25

Since the measurement cannot be negative,

B = 20

So L = B + 5 = 25