A rectangle is 14 cm long and 10 cm wide . If the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by :
A
4
B
144
C
12
D
2
Correct Answer: 4
Area = 14 × 10 = 140 sq.cm New length = ( 14 - x) New width = ( 10 + x) 14 - x = 10 + x 2x = 4 x = 2 New Area = ( 14 - 2) × ( 10 + 2) = 144 change is area = ( 144 - 140) sq.cm = 4 sq.cm