SOLUTION: A rectangle lenth (2x+1) cm and its breadtg is (2x-1) cm ,its perimetre is 60 m .find the value of x

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Question 940104: A rectangle lenth (2x+1) cm and its breadtg is (2x-1) cm ,its perimetre is 60 m .find the value of x
Found 2 solutions by krutarthas, MathLover1:
Answer by krutarthas(22) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle lenth (2x+1) cm and its breadtg is (2x-1) cm ,
its perimetre is 60 m =60x100=6000 cm
perimetre = 2(length + breadth)
⇒6000=2(2x+1 +2x-1)
⇒6000=2(4x+1-1)
⇒6000=2(4x)
⇒8x=6000
⇒x=6000/8= 750 cm

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangle:
L=%282x%2B1%29cm ...convert to meters:L=%282x%2B1%29%29.01m
W=%282x-1%29cm ,....................W=%282x-1%29.01m
P=+60m
find: the value of x
P=+2%28L%2BW%29
60m=+2%28%282x%2B1%29%29.01m%2B%282x-1%29.01m%29
60m=+2%28.02xm%2B.01m%2B.02xm-.01m%29
60cross%28m%29=+2%28.02xcross%28m%29%2B.02xcross%28m%29%29
60=+2%28.02x%2B.02x%29
60=+2%28.04x%29
60=+.08x
60%2F.08=x
6000%2F8=x
highlight%28x=750%29

L=%282x%2B1%29.01m
L=%282%2A750%2B1%29.01m
L=%281501%29.01m
highlight%28L=15.01m%29

W=%282x-1%29.01m
W=%282%2A750-1%29.01m
W=%281500-1%29.01m
W=%281499%29.01m
highlight%28W=14.99m%29
check the perimeter:
P=+2%28L%2BW%29
60m=+2%2815.01m%2B14.99m%29
60m=+2%2830m%29
60m=+60m