Ishan wants to do

let the length be x and breadth be y

For the first condition

(x - 50) (y + 50) = xy

50x – 50y = 2500

x – y = 50 …. (i)

For the second condition

(x - 10) (y - 20) = xy – 5300

2x + y = 550 …(ii)

Substituting these values in matric form

It is in the form of AX = B, then the solution matric is X = A ^{- 1}X

|A| = 1 + 2 = 3

Therefore, x = 200 and y = 150