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the perimeter of a rectangular field is 140m. If the length is increased by 15m and breadth is decrease by 5m, the length will...Asked by Anonymous
the perimeter of a rectangular field is 140m. if the length is increased by 15m and the breadth is decreased by 5m, the length will become 3 times the bredth. find the length and the breadth of the field.
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Answered by
Rosemary
Is some information missing? Not enough info to answer question.
Answered by
Reiny
let the length be x
let the breadth be y
2x+2y=140
x+y=70
y = 70-x
new length = x+15
new breadth = y-5 = 70-x-5 = 65-x
x+15 = 3(65-x)
x+15 = 195 - 3x
4x = 180
x = 45 ---> y = 70-45 = 25
<b>the field is 45 by 25 m</b>
check: increased length = 45+15 = 60
decreased breadth = 25-5 = 20
is 60 equal to 3 times 20 ? Sure is!
let the breadth be y
2x+2y=140
x+y=70
y = 70-x
new length = x+15
new breadth = y-5 = 70-x-5 = 65-x
x+15 = 3(65-x)
x+15 = 195 - 3x
4x = 180
x = 45 ---> y = 70-45 = 25
<b>the field is 45 by 25 m</b>
check: increased length = 45+15 = 60
decreased breadth = 25-5 = 20
is 60 equal to 3 times 20 ? Sure is!
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