mensuration

Area of a rectangular plot is 260 m sq

Let l be length & b be the breadth of the rectangular plot

⇒lb = 260...................(1)

Now, If its length decreases by 5m and the width increases by 2m, it becomea a square.

⇒l-5 = b +2

⇒l - b = 7

⇒l = b +7...................(2)

Now substituting the value of l in (1)

we get,

(b+7)b = 260

b²+7b -260 = 0

(b-13)(b+20) = 0

⇒ b = 13 or b = -20 (rejected)

Putting in equating 2 we get, l =20

Hence l = 20 & b =13