Question

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

Answer 1

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The perimeter of a rectangular swimming pool is 154 m. Its length is 2m more than

twice its breadth. What are the length and the breadth of the pool?

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Let the breadth be 'x'

Length = 2 + 2x

Now perimeter of a rectangle = 2(l + b)

2(l + b) = 154

2 ( 2 + 2x + x) = 154

2 ( 2 + 3x) = 154

2 + 3x = 77

3x = 75

x = 25 m

Required breadth = 25 m

Length = 2 + 2 x 25 = 52 m

Hope This Helps You!

Answer 2

Given :-

• The perimeter of a rectangular swimming pool is 154 m. It's length is 2 m more than twice of its breadth.

To Find :-

• What is the length and breadth of rectangular swimming pool.

Formula Used :-

$\sf\boxed{\bold{\pink{Perimeter\: of\: Rectangle =\: 2(Length + Breadth)}}}$

Solution :-

Let, the breadth be x m

And, the length will be 2x + 2

According to the question by using the formula we get,

$➦ \tt 2(2x + 2 + x) =\: 1542(2x+2+x)=154$

$➦ \tt 4x + 4 + 2x =\: 1544x+4+2x=154$

$➦\tt6x =\: 154 - 46x=154−4$

$➦ \tt 6x =\: 1506x=150$

$➦ \tt \: x =\: \dfrac{\cancel{150}}{\cancel{6}}$

$➠ \sf\bold{\green{x =\: 25\: m}}x=25m$

Hence, the length and breadth are :

✪ Length of swimming pool :

$➦ \tt 2x + 2\: m2x+2m$

$➦ \tt 2 \times 25 + 2\: m2×25+2m$

$➦ \tt 50 + 2\: m50+2m$

$➠ \pmb\sf\bold{\red{52\: m}}$

And,

✪ Breadth of swimming pool :

$➦ \sf x\: mxm$

$➠ \sf\bold{\red{25\: m}}$

therefore∴ The length and breadth of a rectangular swimming pool is 52 m and 25 m respectively.