Final answer:
To find the dimensions of the rectangular plot, let's assume its length is x. According to the given information, the breadth of the plot is 20m less than its length, so the breadth can be written as (x-20). We know that the perimeter of a rectangle is 2(length + breadth), so we can set up the equation 2(x + (x-20)) = 120m. Solving this equation, we find x = 40m. Therefore, the length of the plot is 40m and the breadth is (40-20)m = 20m. So, option A is correct: Length: 40m, Breadth: 20m.
Step-by-step explanation:
To find the dimensions of the rectangular plot, let's assume its length is x. According to the given information, the breadth of the plot is 20m less than its length, so the breadth can be written as (x-20). We know that the perimeter of a rectangle is 2(length + breadth), so we can set up the equation 2(x + (x-20)) = 120m. Solving this equation, we find x = 40m. Therefore, the length of the plot is 40m and the breadth is (40-20)m = 20m. So, option A is correct: Length: 40m, Breadth: 20m.