The perimeter of a rectangular swimming pool is 154m.it length is 2m more than twice its breadth. what are the length and the breadth of the pool?
Answers
Answer:
Length =52 breath =25
Step-by-step explanation:
Let the breadth=x m
Length of pool is 2m more than twice its breath
So length =(2x +2) m [equation (1) ]
The perimeter of swimming pool is 154m
Perimeter formula = 2(l+b)=154
l+b=154/2
(2x+2)+x=77
3x=77–2
3x=75
x=75/3
x=25
So the breadth of pool is 25m
We take breath of the pool and add it to [equation (1) ]
(2x +2) m
2(25)+2
=50+2
=52m
therefore the length of the pool is 52m
hope it helps, if any query, comment.
ATQ,
Length = 2x Breadth + 2
l = 2b + 2
Perimeter = 2 ( l + b )
= 2 { ( 2b + 2 ) + b }
154 = 2 { ( 2b + 2 ) + b }
{ ( 2b + 2 ) + b } = 154 / 2
= 77
{ ( 2b + 2 ) + b } = 2b + b +2
= 3b + 2
3b = 77 - 2
=75
b = 75/3
= 25
l = 2b + 2
= 2 x 25 + 2
= 50 + 2
= 52
Length = 52
Breadth = 25
VERIFICATION
PERIMETER = 2 ( l + b )
= 2 ( 52 + 25 )
= 2 x 77
= 154 meters
= RHS
Hence verified