Question

the perimeter of a rectangular swimming pool is 154 metre its length is 2 metre more than twice its breadth. what are the Length And The breadth of the pool ?​

Answer 1

Hey mate
Here is your answer :--

Let the length be x
and breadth be y

so, according to condition,
x = 2y +2. ------(1)

perimeter of pool is 154 m. ------ (given)

p of pool = 2( l + b)

154 = 2 ( x + y) ----- (2)

substituting x = 2y + 2 in the equation (2)

154 = 2 ( 2y + 2 + y)

154 = 2 ( 3y + 2)

154/2 = 3y + 2

77 = 3y + 2

77 - 2 = 3y

75 = 3y

75/3 = y

so, y = 25

substituting y = 25 in equation (1)

so, x = 2y +2

= 2 × 25 + 2

= 50+2

= 52

so, length of the pool is x = 52 m
and the breadth of the pool is y = 25 m

Hope this help you mate and if you have any more queries just let me know in the comments

Answer 2

Given :-

• Perimeter = 154 m

Let the breath be x m

∴ Length be 2x + 2 m

To Find :-

• Length
• Breadth

Solution :-

Formula of Perimeter :-

P = 2 ( l + b)

Where

• l = length
• b = breath
• P = Perimeter

So, let's substitute the values

⟹ 154 = 2( x + 2x + 2)

⟹ 154 = 2 ( 3x + 2)

⟹ 154 = 6x + 4

⟹ 154 - 4 = 6x

⟹ 150 = 6x

⟹ 6x = 150

⟹ x = 150/6

⟹ x = 25

Thus, we got the value of x i.e 25

Now, we will be substituting these value in the length & Breadth

Breadth = x = 25 m

Length = 2x + 2 = 25 × 2 + 2 = 50 + 2 = 52 m

Thus, breadth is 25 m & length is 52 m of that pool.