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.
2 answers
Is some information missing? Not enough info to answer question.
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
the field is 45 by 25 m
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
the field is 45 by 25 m
check: increased length = 45+15 = 60
decreased breadth = 25-5 = 20
is 60 equal to 3 times 20 ? Sure is!
8 answers