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Linear Equations in One Variable
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04/08/2021 10:48 am
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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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04/08/2021 10:50 am
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 = \(\frac{154}{2}\)
⇒ 3x = 77 – 2
⇒ 3x = 75
⇒ x = \(\frac{75}{3}\)
⇒ x = 25 m
Therefore, Breadth = x = 25 cm
Length = 2x + 2
= (2 × 25) + 2
= 50 + 2
= 52 m