Question

1. 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

Step-by-step explanation:

p=154

let length be x and breadth be 2x+2

154=2(l+b)

154=2(x+2x+2)

154=2(3×+2)

77=3x+2

77-2=3×

75/3=×

x=25

hope it helps

Answer 2

★ Given :-

• The perimeter of a rectangular swimming pool is 154 m.
• Its length is 2 m more than twice its breadth.

★ To Find :-

• The length and the breadth of the pool.

Step-by-step explanation:

Let the breadth be x m.

Then, the length would be (2x + 2) m.

We know the formula of a rectangle.

$\implies \boxed{ \red{ \sf{P =2( L + B)}}}$

• P = perimeter
• L = length
• B = breadth

Now, putting the values we get,

$\implies \sf \: 2[(2x + 2) + x] \: = 154$

$\implies \sf \: 2(3x + 2) \: = 154$

$\implies \sf \: 6x + 4 \: = 154$

$\implies \sf \: 6x = 154 - 4$

$\implies \sf \: 6x = 150$

$\implies \sf \: x = \dfrac{ 150}{6}$

$\implies \boxed{ \red{ \sf \: x = 25}}$

The length of the pool is 25 m

The breadth of the pool is 52 m