The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?

17 m

8.5 m

34 m

None of these

Let the breadth of the rectangular plot be x meters.

Since the length is thrice the breadth, the length is 3x meters.

The area of the rectangular plot is given as 867 sq m, which is equal to the product of the length and breadth: length × breadth = area.

So, we can write the equation: 3x × x = 867.

Simplifying the equation, we get: 3x^2 = 867.

Divide both sides by 3: x^2 = 289.

Take the square root of both sides: x = √289 = 17.

Therefore, the breadth of the rectangular plot is 17 meters.