Question

the perimeter of a rectangular pool is 154m. its length is 2m more than twice of its 75 length. what are the length and breath of pool?
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Answer 1

Correct Question :-

The perimeter of a rectangular pool is 154 m. It's length is 2 m more than twice of it's breadth. What are the length and breath of pool?

​Given :-

Perimeter of rectangular pool = 154 m

Length is 2 m more than twice of it's breadth.

To Find :-

The length of the rectangular pool.

The breadth of the rectangular pool.

Analysis :-

Consider the breadth as a variable. Then according to the question, write the representation of length.

Make an equation and find the value of the variable.

Substitute the value in the length in order to get both the dimensions.

Solution :-

We know that,

• l = Length
• b = Breadth
• p = Perimeter

Let the breadth be 'x', then the length would be '2x + 2'.

By the formula,

$\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length+Breadth)}}$

Given that,

Length (l) = 2x + 2

Breadth (b) = x

Perimeter (p) = 154 m

Substituting their values,

$\sf 154=2(2x+2+x)$

$\sf 154=2(3x+2)$

$\sf 3x+2=\dfrac{154}{2}$

$\sf 3x+2=77$

$\sf 3x=77-2$

$\sf 3x=75$

$\sf x=\dfrac{75}{3}$

$\sf x=25$

Breadth = x = 25 m

Length = 2x + 2

= (2 × 25) + 2

= 50 + 2

= 52 m

Therefore, the length and breadth is 52 m and 25 m respectively.