The length of a rectangular plot is 9/2 times that of it's breadth. If the area of the plot is 200 square meters, then what is it's length?

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

its 69.420

step-by-step explanation: