Answer:
The length of the rectangular plot is 30 m
Step-by-step explanation:
Mathematically, the area of a rectangle is the product of its length and width
Let us have the length as x m ; for the length to be 9/2 of the breadth, it means the breadth is 2/9 of the length
so we have the breadth as 2/9 * x = 2x/9
The product of the two equals the area which is 200 square meters
thus, we have it that;
x * 2x/9 = 200
2x^2 = 9 * 200
x^2 = 1800/2
x^2 = 900
x = √900
x = 30 m