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?
- The area of F is greater than the area of G.
- 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.