The perimeter of a rectangle swimming pools is 154 metre its length is 2 metre more than twice its breath what are the length and the breath of the swimming pool
Answers
Given :
The perimeter of rectangle swimming pools is 154 m. Length is 2 m more than twice the breadth.
To find :
Length & breadth of swimming pool.
Solution :
Let the breadth of swimming pool be b m.
⇒ Length of swimming pool = 2b + 2
As we know,
☛ Perimeter of rectangle = 2(l + b)
Putting all values :
⇒ 154 = 2(2b + 2 + b)
⇒ 154/2 = 3b + 2
⇒ 77 = 3b + 2
⇒ 77 - 2 = 3b
⇒ 75 = 3b
⇒ b = 75/3
⇒ b = 25
★ Dimensions of rectangle :
⇒ Length = 2b + 2
= 2(25) + 2
= 50 + 2
= 52 m
⇒Breadth = b
= 25 m
Therefore,
Length & breadth of swimming pool are 52 m & 25 m respectively.
Step-by-step explanation:
Given that:
- Perimeter = 154 m
- Length is 2m more than twice its breadth
To Find :
- Length
- Breadth
Solution :
Let Breadth of rectangular swimming pool= x
Length = 2x + 2
——--—--——————————-——
Perimeter = 2( length +Breadth)
—-------------------------------------------
=> 154 = 2( 2x+2 + x)
=> 154 = 2( 3x+2)
=> 154 =6x + 4
=> 154 - 4 = 6x
=> 150 = 6x
=> 150/6 = x
=> 25 = x
=> x = 25 m