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The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively, if the breadth of the plot is 34 meters less than the length, what is the perimeter of the rectangular plot?

The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively, if the breadth of the plot is 34 meters less than the length, what is the perimeter of the rectangular plot? Correct Answer 748 meters

Given:

The ratio of length and breadth = 6 : 5

Difference between the length and breadth of a rectangular plot = 34 meters

Formula Used:

Area of the rectangle = l × b square units

The perimeter of the rectangle = 2 × (l + b)

Calculation:

let us take the  length and breadth  of the rectangle be 6x, 5x respectively

According to the question,

The difference between the length and breadth of plot = Difference in the ratio of length and breadth of the plot.

⇒ 34 = 6x - 5x

⇒ x = 34 

Lenght of the rectangle = 6 × 34 = 204 meters

Breadth of the rectangle = 5 × 34 = 170 meters

The perimeter of the rectangle = 2 × ( 204 + 174) = 748 meters 

∴ The perimeter of the rectangle is 748 meters

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