2. The perimeter of a rectangular swimming pool is 164m. Its length is 2m more
than twice its breadth. What are the length and breadth of the pool?
Answers
Answer:
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Step-by-step explanation:
Let the breadth of rectangular swimming pool be x metres.
Then, its length =(2x+2) metres.
We know that the Perimeter of a rectangle =2(Length+Breadth)
=2(2x+2+x)=6x+4
According to the given condition, we have
6x+4=154
⇒6x=154−4 ..[By transposing 4 to RHS]
⇒6x=150
⇒
6
x
=
6
150
...[Dividing both sides by 6]
⇒x=25
Thus, breadth =25 m and length =25×2+2=52 m
Answer:
Breadth = 26.66 m
Length = 55.32 m
Step-By-Step Explanation:
Given that,
Perimeter of rectangular swimming pool = 164 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) = 164 m
⇒ 2(3x + 2) = 164
⇒ 3x +2 = 164/2
⇒ 3x = 82 – 2
⇒ 3x = 80
⇒ x = 80/3
⇒ x = 26.66 m
Therefore, Breadth = x = 26.66 cm
Length = 2x + 2
= (2 × 26.66) + 2
= 53.32 + 2
= 55.32 m