Question

perimeter of rectangular swimming pool is 154 its length is 2 metre more than twice its breadth. what are length and breadth of the pool?​

Answer 1

$\bf{\red{\Large{\boxed{\tt{ANSWER\::}}}}}}}$

$\bf{\green{\large{\underline{\underline{\sf{Given\::}}}}}}$

Perimeter of rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth.

$\bf{\red{\large{\underline{\underline{\bf{To\:find\::}}}}}}$

The length and breadth of the pool.

$\bf{\purple{\underline{\underline{\rm{Explanation\::}}}}}$

Let the breadth be r m

Let the length be (2r+2) m

Formula use :

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

A/q

$\mapsto\sf{154=2[(2r+2)+r]}\\\\\\\mapsto\sf{154=2(2r+2+r)}\\\\\\\mapsto\sf{\cancel{\dfrac{154}{2}} =2r+2+r}\\\\\\\mapsto\sf{77=2r+2+r}\\\\\\\mapsto\sf{77=3r+2}\\\\\\\mapsto\sf{3r=77-2}\\\\\\\mapsto\sf{3r=75}\\\\\\\mapsto\sf{r=\cancel{\dfrac{75}{3}}}\\\\\\\mapsto\sf{\red{r=25\:m}}$

Thus;

• Length = 2r + 2 = 2*25+2 = 50+2 = 52 m
• Breadth = 25 m

Answer 2

Answer:

The Length is 52 m and Breadth is 25 m.

Step-by-step explanation:

$\mathfrak{\underline{\underline{Given - }}}$

Perimeter is 154 m

Length is 2 m more than twice the breadth

$\mathfrak{\underline{\underline{To find - }}}$

The dimensions of the rectangle

$\mathfrak{\underline{\underline{Solution -}}}$

Consider the Breadth as 'x'.

The length is 2 more than twice of breadth, length = (2x + 2)

We all familiar with the formula required to find the perimeter of a rectangle.

$\purple{\boxed{\pink{\boxed{\orange{\textsf{Perimeter = 2L + 2B}}}}}}$

$\tt{\implies} \: 154 = 2(2x + 2) + 2(x) \\ \\ \tt{\implies} \:154 = 4x + 2 + 2x \\ \\ \tt{\implies} \:154 - 4 = 4x + 2x \\ \\ \tt{\implies} \:150= 6x \\ \\ \tt{\implies} \:x = \dfrac{150}{6} \\ \\ \tt{\implies} \:x = 25$

Breadth of the rectangle is 25 m

$\rule{300}{1}$

$\textbf{\small{\underline{The length of the rectangle - }}}$

Place the value of x in the Length value.

$\tt{\implies} \:2x + 2 \\ \\ \tt{\implies} \:2(25) + 2 \\ \\ \tt{\implies} \:50 + 2 \\ \\ \tt{\implies} \:52$

Length of the Rectangle is 52 m

$\therefore$ The Length is 52 m and Breadth is 25 m.