Question

The perimeter of rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool​

Answer 1

length 52m and breadth 25m

Step-by-step explanation:

Let breadth be X

,, ,, ,, ,, be 2x + 2 + x

Perimeter 154m

154 = 2(2x + 2 + x)

154/2 = 2x + 2 + x

77 = 3x + 2

77 - 2 = 3

75 = 3x

Take 75 to RHS

Take 3x to LHS

3x = 75

x = 75/3

x = 25

BREADTH = x = 25

LENGTH = 2x + x + 2 = 2*25 + 2

=50 + 2 = 52

Answer 2

Given :

• Perimeter = 154m

____________________________

To Find :

• Length and the breadth

____________________________

Solution :

Let x be the measure of the breadth

According to the question :

→ Length = 2x + 2

2(length + breadth) = Perimeter of the rectangle

⇒ 2 {(2x+2) + x} = 154m

⇒ 2(2x + 2 + x) = 154m

⇒ 2(3x + 2) = 154m

⇒ 6x + 4 = 154m

⇒ 6x = 154m - 4

⇒ x = 150/6

⇒ x = 25m

Finding out length and breadth :

→ L = 2x+2 = 52

→ B = x → 25

∴ Length of rectangle is 52 m and breadth is 25 m