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 :-

• Length = 55.32m
• Breadth = 26.66m

Given :-

• The perimeter of a rectangular swimming pool is 164m and its length is 2m more than twice its breadth.

To Find :-

• Length and breadth of the pool.

Solution :-

Let

• Breadth of the pool be x
• Length will be (2x + 2)

As we know that

Perimeter of the rectangle :-

• 2 (l + b)

Where

• l = length
• b = breadth

Here

• Perimeter of the rectangle is 164m

Put the values in the formula

According to question :-

⇒ 2 [(2x + 2) + x] = 164

⇒ 2 [ 2x + 2 + x ] = 164

⇒ 2 [ 3x + 2 ] = 164

⇒ 3x + 2 = 164/2

⇒ 3x + 2 = 82

⇒ 3x = 82 - 2

⇒ 3x = 80

⇒ x = 80/3

⇒ x = 26.66

Now

• Breadth of the rectangle = 26.66m
• Length of the rectangle = 26.66(2) + 2 = 55.32m

Hence, the length and breadth are 55.32m and 26.66m respectively.

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