the distance around a rectangular field is 400 meters.the length of the field is 26 meters more than the breadth calculate length and breadth of the field
Answers
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The distance around a rectangular field is 400m
⇒ The perimeter is 400m
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STEP 1: Define x:
let the Breadth be x
The length = x + 26
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STEP 2: Form equation:
Perimeter = 2(Length + Breadth)
400 = 2[x + (26 + x)]
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STEP 3: Solve x:
400 = 2[x + 26 + x]
400 = 2[2x + 26]
400 = 4x + 52
4x = 400 - 52
4x = 348
x = 87
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STEP 4: Find the length and breadth:
Breadth = x = 87 m
Length = x + 26 = 87 + 26 = 113 m
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Answer: The length is 113m and the breadth is 87m
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Answer:
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