The length of a rectangular field is 8 meters less than twice its breadth. If the perimeter of
the rectangular field is 56 meters, find its length and breadth?
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Answer:
let the breadth of rectangle(b) = x m
then length(l) = (2x-8) m
A/q,
perimeter of rectangle = 56 m
⇒ 2(l+b) = 56
⇒ 2(2x-8+x) = 56
⇒ 3x-8 = 28
⇒ 3x =28+8
⇒ x = 36/3 = 12 m
therefore length(l) = 2x-8 =2×12 - 8 =16 meters
breadth(b) = x = 12 meters
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length=l
breath=b
breath=b
length=(2b-8)
perimeter of rectangle 2(l+b)
56=2(2b-8+b)
56=2(3b-8)
56=6b-16
56+16=6b
72=6b
b=72/6
b=12
breath=12metre
length=(2b-8)
2*12-8
24-8
16metre
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