If the perimeter and diagonal of a rectangle are 14 and 5 cms respectively, find its area.	Choices:  A) 12 cm 2  B) 16 cm 2  C) 20 cm 2  D) 24 cm  E) none of these

Rationale: in a rectangle , ( perimeter ) 2 / 4 = ( diagonal ) 2 + 2 × area ⇒ ( 14 ) 2 / 4 = 5 ( 2 ) + 2 × area 49 = 25 + 2 × area ∴ area = 49 − 25 / 2 = 24 / 2 = 12 cm 2 answer a
Answer: A