A rectangular field is such that its length is one and a half times its breadth. A thick white line is drawn along all edges of the field. If the total length of the line is 200m, find the length of the sides of the field.
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Answer:
Assume that the breadth of the rectangle is x.
Perimeter of rectangle = 2(l + b)
Length = 1/2 of breadth
→ l = 1/2b
As per given condition,
→ 200 = 2(1/2b + b)
→ 200 = 2(3b/2)
→ 200 = 3b
→ b = 66.67
So,
→ l = 66.67/2
→ l = 33.33
Hence, the length and breadth of the rectangle are 66.67 and 33.33 m.
Verification
Perimeter of rectangle = 2(l + b)
200 = 2(66.67 + 33.33)
200 = 2(100)
200 = 200
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