Question

2. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than
the number?
twice its breadth. What are the length and the breadth of the pool?
2
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Answer 1

Answer:

Let the breadth of rectangular swimming pool be x metres.  

Then, its length =(2x+2) metres.

We know that the Perimeter of a rectangle =2(Length+Breadth)

=2(2x+2+x)=6x+4

According to the given condition, we have  

6x+4=154

⇒6x=154−4           ..[By transposing 4 to RHS]

⇒6x=150

⇒  

6

x

​  

=  

6

150

​  

         ...[Dividing both sides by 6]

⇒x=25  

Thus, breadth =25 m and length =25×2+2=52 m

Step-by-step explanation:

Answer 2

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