Each of the following questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the area of a rectangular field? Statement I: The perimeter of the rectangular field is 80 meters. Statement II: The length of the rectangular field is 10 meters more than its breadth.

Let the length of the rectangular field be L meters and the breadth be B meters. Area of the rectangular field = L * B From I, The perimeter of the field is 80 meters. ATQ, 2(L + B) = 80 Or, L + B = 40 Since we cannot find the unique values of L and B, Statement I alone is not sufficient. From II, The length is 10 meters more than its breadth. ATQ, L = B + 10 Or, L - B = 10 Since we cannot find the unique values of L and B, Statement II alone is not sufficient. From I and II, We have two equations: L + B = 40 L - B = 10 Adding both equations, we get: 2L = 50 So, L = 25 meters Substituting L = 25 in the first equation: 25 + B = 40 So, B = 15 meters Now, Area = L * B = 25 * 15 = 375 square meters. Therefore, both statements I and II together are necessary to answer the question. Hence, the correct answer is E.