the length ofa rectangular hall is 5m more than its breadth if the area is594msq of the hall find its perimeter
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Let the breadth be x m
Breadth = x
Length = x + 5
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The area is 594
Length x Breadth = Area
x(x + 5) = 594
x² + 5x - 594 = 0
(x - 22) (x + 27) = 0
x = 22 or x = -27 (rejected, since length cannot be negative)
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Find the length and breadth:
Breadth = x = 22 m
Length = x + 5 = 22 + 5 = 27 m
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Find the Perimeter:
Perimeter = 2 (length + breadth)
Perimeter = 2( 27 + 22) = 98 m
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Answer: The perimeter is 98 m
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