The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm. What is the ratio of the width and the area of the rectangle?  Select:  A) 1 : 96  B) 1 : 99  C) 1 : 94  D) 1 : 92  E) 1 : 91

Rationale: "let the length and the width be 4 x and 3 x respectively . area = ( 4 x ) ( 3 x ) = 6348 12 x ^ 2 = 6348 x ^ 2 = 529 x = 23 the ratio of the width and the area is 3 x : 12 x ^ 2 = 1 : 4 x = 1 : 92 the answer is d ."
Answer: D