Question

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

Answer 1

Answer:

Let the breadth be x m.

Length = 2( 2 + x)

= (4 + 2x) m

Perimeter of a rectangular

swimming pool = 2 ( l + b )

164 = 2 ( 4 + 2x + x )

164 = 2 ( 4 + 3x )

164 = 8 + 6x

164 - 8 = 6x

156 = 6x

x = 156 / 6

x = 26 m

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