Question

If the perimeterof swimming pool is 154 and length is 2m more than breadth Find length and breadth of pool

Answer 1

Answer:

let breadth be x

then,lenght=x+2

perimeter=2(l+b)

154=2(x+x+2)

154=2(2x+2)

154=4x+4

154-4=4x

150=4x

150/4=x

37.5=x

breadth=37.5m

lenght=39.5m

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given a swimming pool whose perimeter is 154 m
• Length of the pool is 2 m more than its breadth

To Find:

• We need to find the length and breadth of the swimming pool

Solution:

For Swimming pool let us assume

Breadth = b m

Length = Breadth + 2 = ( b + 2 ) m

_______________________________

According to the Question

$\implies$ Perimeter of rectangular pool = 154

$\implies$ 2 ( length + breadth ) = 154 m

$\implies$ 2 ( b + 2 + b ) = 154 m

$\implies$ 2 ( 2b + 2 ) = 154 m

$\implies$ 2b + 2 = $\dfrac{154}{2}$

$\implies$ 2b + 2 = 77

$\implies$ 2b = 75

$\implies$ b = $\dfrac{75}{2}$

______________________________

Hence Breadth of pool = 37.5 m

Length = Breadth + 2 = 39.5 m

Length and breadth of pool is 39.5m and 37.5m respectively

_______________________________

$\huge\mathfrak\red{Verification:}$

$\implies$ Perimeter = 2 ( l + b )

$\implies$ 2 ( 37.5 + 39.5 )

$\implies 2 \times 77$

$\implies$ 154 m

Hence Verified !