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A rectangular field is such that its length is one and the half time its breadth. A thick white line is drawn all alone the edge of the field. if its total length white line is 200m, find the length of side of the field.

1 Answer

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Final answer:

The length of the rectangular field is 66.66m.

Step-by-step explanation:

Let's assume that the breadth of the rectangular field is x. According to the given information, the length of the rectangular field is one and a half times its breadth, which means the length is 1.5x.

The perimeter of a rectangle is twice the sum of its length and breadth. So, the perimeter of the field is 2(1.5x + x) = 4.5x.

We know that the thick white line drawn along the edge of the field has a total length of 200m. This is equal to the perimeter of the field, which is 4.5x.

Therefore, 4.5x = 200, and solving for x, we get x = 44.44.

Since the breadth of the field is x, the length of the field is 1.5x = 1.5(44.44) = 66.66m.

User Tim Gerlach
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