The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
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The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
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Given:
To finD:
Solution:
We are given that perimeter of rectangular swimming pool is 154m and Length of pool is 2m more than twice the breadth.
Now, as per the given question, if breadth of rectangular pool is x then its length will be 2m more than twice the x.
Therefore,
We know that :
Perimeter of rectangle = 2( length + breadth)
Where,
Let put the know values in above mentioned formula :
Perimeter of rectangle = 2( length+Breadth)
⟹ 154 = 2( 2x +2 + x)
⟹ 154 = 4x + 4 + 2x
⟹ 154 = 4x + 2x + 4
⟹ 154 = 6x + 4
⟹ 6x = 154 - 4
⟹ 6x = 150
⟹ x = [tex]\large{\sf{\frac{150}{6}}}[/tex]
⟹ x = 25
Therefore :
Answer:-
Given that,
Perimeter of rectangular swimming pool = 154 m
Let the breadth of rectangle be = x
According to the question,
Length of the rectangle = 2x + 2 We know that,
Perimeter = 2(length + breadth)
⇒ 2(2x + 2 + x) = 154 m
⇒ 2(3x + 2) = 154
⇒ 3x +2 = 154/2
⇒ 3x = 77 – 2
⇒ 3x = 75
⇒ x = 75/3
⇒ x = 25 m
Therefore, Breadth = x = 25 cm
Length = 2x + 2
= (2 × 25) + 2
= 50 + 2
= 52 m