Question

The perimeter of a rectangular swimming polls 154 meters .It's length is 2 m more than twice it's breadth. What are the length and breadth of the pool​

Answer 1

Step-by-step explanation:

Let the length of the pool be denoted by l , and the breadth be denoted by b

Then, the statement, “Its length is 2 m more than twice its breadth” is equivalent to writing:

l=2b+2

Now, for a rectangle, the perimeter, P, is given by:

P=2l+2b

Substituting our expression for l gives:

P=2(2b+2)+2b=6b+4=154

which we can re-arrange to find:

6b=150⟹b=25

And plugging this into our expression for l yields:

l=2b+2=2×25+2=52

Thus its length is 52m and its breadth is 25m

Answer 2

Answer:

Breadth = 25 m

Length = 52 m

Step-By-Step Explanation:

Given that,

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 = 154/2

⇒ 3x = 77 – 2

⇒ 3x = 75

⇒ x = 75/3

⇒ x = 25 m

Therefore, Breadth = x = 25 cm

Length = 2x + 2

= (2 × 25) + 2

= 50 + 2

= 52 m