Question

the perimeter of a rectanglar swimming pool is 154m. Its lenght is 2m more than twice its breadth. what are the length and the breadth of the pool

Answer 1

perimeter=154m
let the breadth be x m
then length will be 2x+2 m
perimeter of rectangle=2(length+breadth)
154 =2(x+2x+2)
154=2(3x+2)=6x+4
154=6x+4
150=6x
x=150/6
x=25
breadth is 25 m
length is 2(25)+2=52m

hope it will help you.

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