The ratio of the length and the breadth of a rectangular plot is 6 : 5

1.	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?1. 408 meters2. 814 meters3. 374 meters4. 748 meters
Answer» Correct Answer - Option 4 : 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

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?1. 408 meters2. 814 meters3. 374 meters4. 748 meters

Answer» Correct Answer - Option 4 : 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