Question

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

Answer 1

Given:

• Perimeter of a rectanglular swimming pool is 154 m.
• Length of pool is 2 m more than twice its breadth.

To find:

• Measure of length and breadth of pool?

Solution:

☯ Let breadth of swimming pool be x m.

Given that,

• Length of pool is 2 m more than twice its breadth.

Therefore,

• Length of swimming pool is (2x + 2) m.

★ According to the Question:

• Perimeter of a rectanglular swimming pool is 154 m.

➯ 2[(2x + 2) + x)] = 154

➯ (2x + 2) + x = 154/2

➯ (2x + 2) + x = 77

➯ 3x + 2 = 77

➯ 3x = 77 - 2

➯ 3x = 75

➯ x = 75/3

➯ x = 25

Therefore,

• Breadth of rectangular swimming pool, x = 25 m
• Length of rectangular swimming pool, (2x + 2) = 50 + 2 = 52 m

∴ Hence, Length and Breadth of Rectanglular swimming pool is 52 m and 25 m respectively.

Answer 2

$\large{\underline{\sf{\red{Required\:Answer:}}}}$

• Length = $\large\boxed{\underline{{\rm 52 \: m }}}$

• Breadth = $\large\boxed{\underline{{\rm 25\: m }}}$

Given:-

• Perimeter of a rectangular swimming pool = 154 m.

• Length is 2 m more than twice its breadth.

To Find :-

• The length and breadth.

Solution:-

Let the breadth of the pool be x m.

• Length = $\rm{(2x + 2)m}$

• Perimeter = $\rm{2(l + b)}$

$\pink{\implies \: \: }$ $\rm{154 = 2(2x + 2 + x)}$

$\pink{\implies \: \: }$ $\rm{ \dfrac{154}{2} = 2 \dfrac{(2x + 2 + x)}{2} }$

$\pink{\implies \: \: }$ $\rm{ 77 = 3x + 2 }$

$\pink{\implies \: \: }$ $\rm{ 3x = 77 - 2}$

$\pink{\implies \: \: }$ $\rm{ 3x = 75}$

$\pink{\implies \: \: }$ $\rm{ x = \dfrac{75}{3} }$

$\pink{\implies \: \: }$ $\rm{ x = 25 \: m }$

$\purple{\implies \: \: }$ Length = $\rm{ 2x + 2 }$

$\purple{\implies \: \: }$ $\rm{ 2 \times 25 + 2}$

$\purple{\implies \: \: }$ $\rm{ 50 + 2 = 52 \: cm}$

Hence,

• Length = $\rm \: 52 \: m$

• Breadth = $\rm \: 25\: m$