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