Question

$\sf\fbox\blue{QUESTION}$
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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Answer 1

Let :-

• The breadth of rectangle = x
• The length of rectangle = 2x + 2

Given :-

• The perimeter of rectangle = 154m

To Find :-

• The length and breadth of rectangle = ?

Solution :-

• To calculate length and breadth of pool at first calculate the value of x the calculate the dimension of pool by applying formula.

⇢ Perimeter of pool = 2(length + breadth

⇢ 2(2x + 2 + x) = 154

⇢ 2(3x + 2) = 154

⇢ 6x + 4 = 154

⇢ 6x = 154 - 4

⇢ 6x = 150

⇢ x = 25

Hence,

⇢The length of rectangle (2x + 2) = 2×25 + 2 = 52m

⇢ The breadth of rectangle (x) = 25 m