The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4332 sq cm. What is the ratio of the width and the area of the rectangle?
Choose the most appropriate option:  A) 1 : 72  B) 1 : 76  C) 1 : 80  D) 1 : 84  E) 1 : 88

Rationale: "let the length and the width be 4 x and 3 x respectively . area = ( 4 x ) ( 3 x ) = 4332 12 x ^ 2 = 4332 x ^ 2 = 361 x = 19 the ratio of the width and the area is 3 x : 12 x ^ 2 = 1 : 4 x = 1 : 76 the answer is b ."
Answer: B