The length of the fence around the rectangular plot of land is 82 m.

The length of the fence around the rectangular plot of land is 82 m. Find the length and width of the plot if the width is 2 times less than the length.

The length of the fence is equal to the perimeter of the rectangle, which is the boundary of the plot. Perimeter of the rectangle = 2 (Length + Width). Let the width of the plot be x meters. Then its length is (x + 5) meters. Let’s compose and solve the equation:

2 (x + (x + 5)) = 82
x + (x + 5) = 41
x + x + 5 = 41
2x + 5 = 41
2x = 36
x = 18

That is, the width of the site is 18 meters, and its length is 18 + 5 = 23 meters.
Answer: 23 meters and 18 meters.



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