Question

the perimeter of a rectangle swimming pool is 154 m. Its length is 2m more than twice its breadth.What are the length and the breadth of the pool?

Answer 1

perimeter of rectangle swimming pool is 154 m.
Let length = l and breadth = b of the rectangle  then
Perimeter of the rectangle of the pool = 2( l + b)  = 154 m.
l + b = 77 ---------------(1)
Given that length is 2m more than twice its breadth.
l = 2b + 2
l - 2b = 2 ---------(2)
Solving (1) and (2) we get
l = 52 and b = 25
∴ The length of the pool  = 52 m and  breadth of the pool  = 25 m.

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