Resultant of twice the sum of the length and breadth of a rectangle

To find the resultant of twice the sum of the length and breadth of a rectangle, we need to understand what is meant by the "resultant" in this context. It is not clear from the question whether the resultant refers to the area, perimeter, length, or breadth of the rectangle. Let's analyze each option to determine the correct answer.

a) Its area:
The area of a rectangle is calculated by multiplying its length and breadth. However, the question does not provide us with the individual values of length and breadth, so we cannot directly calculate the area. Therefore, option 'A' cannot be the correct answer.

b) Its perimeter:
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the sum of the length and breadth is multiplied by 2. Since the length and breadth are two different sides of the rectangle, multiplying their sum by 2 would give us the perimeter of the rectangle. Hence, option 'B' is the correct answer.

c) Its length:
The question does not provide us with any information about the individual values of the length and breadth. Therefore, we cannot determine the length of the rectangle based on the given information. Thus, option 'C' is not the correct answer.

d) Its breadth:
Similar to option 'c', we cannot determine the breadth of the rectangle based on the given information. The question does not provide us with any specific values for the length and breadth. Hence, option 'D' is not the correct answer.

In conclusion, the resultant of twice the sum of the length and breadth of a rectangle is its perimeter (option 'B').

B. It's Perimeter