Is the length of rectangular field F greater than the length of rectangular field G

Is the length of rectangular field F greater than the length of rectangular field G?

  1. The area of F is greater than the area of G.
  2. The width of F is less than the width of G.

Answer

Assume the length of field F = a and width = b

Similarly, length of field G = p and width = q

Statement 1: The area of F is greater than the area of G

Area of field F = a × b

Area of field G = p × q

Area of field F > Area of field G

ab > pq

However, this does not give the value of lengths. Hence, statement 1 is not sufficient to answer the question.

Statement 2: The width of F is less than the width of G.

b < q

From this statement, you cannot find the relation between the lengths. Hence, statement 2 is not sufficient to answer the question.

Combine Both Statements Together

Area = length x width

For the area of F to be greater than G when the width is less, length must be greater.

Hence, you can find the answer by combining both the statements together.

The correct option is C.