Question

The perimeter of a rectangular swimming pool is 164 m. Its length is 2m more than twice its breadth. What
are the length and the breadth of the pool?​

Answer 1

Answer:

Step-by-step explanation:

Let the breadth be 'x'

Length = 2 + 2x

Now perimeter of a rectangle = 2(l + b)

2(l + b) = 154

2 ( 2 + 2x + x) = 154

2 ( 2 + 3x) = 154

2 + 3x = 77

3x = 75

x = 25 m

Required breadth = 25 m

Length = 2 + 2 x 25 = 52 m

Hope This Helps You!

Answer 2

Answer:

Breadth = 26.66 m

Length = 55.32 m

Step-By-Step Explanation:

Given that,

Perimeter of rectangular swimming pool = 164 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) = 164 m

⇒ 2(3x + 2) = 164

⇒ 3x +2 = 164/2

⇒ 3x = 82 – 2

⇒ 3x = 80

⇒ x = 80/3

⇒ x = 26.66 m

Therefore, Breadth = x = 26.66 cm

Length = 2x + 2

= (2 × 26.66) + 2

= 53.32 + 2

= 55.32 m