Question

the perimeter of a reactangular swimming pool is154 m. Its length is 2 m more than twice its breadth . what are the length and breadth of the pool.​

Answer 1

Perimeter of a rectangle:

P = 2L + 2W = 154 meters

L = 2W + 2 Substitute and solve.

2(2W + 2) + 2W = 154 remove parentheses and combine like terms

4W + 4 + 2W = 154

6W + 4 = 154. Subtract 4 from both sides

6W = 150. Divide both sides by 6

W = 25 m

Therefore: L = 2W + 2 = 2(25) + 2 = 52m

check: P = 2(52) + 2(25) = 104 + 50 = 154m OK

Answers: length = 52m width = 25m

                               Or

let length be 2x+2

breath will be x

According to questions

Perimeter=154m

2(2x+2+x)=154m

2(3x+2)=154m

6x+4=154m

6x=150m

x=25m

breadth=25m

length=52m

   Which you like easy you can do that

                 Hope it helps you

Answer 2

Given:

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

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To find:

• Length and breadth of swimming pool?

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Solution:

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☯ Let breadth of swimming pool be x.

Therefore, Length of swimming pool will be (2x + 2).

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(1.8,-0.7)(0,4.2){2}{\sf\large (2x + 2) m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large x m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

⠀⠀━━━━━━━━━━━━━━━━━━━━

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

• Perimeter of Rectangular swimming pool is 154 m.

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$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Perimeter_{\;(rectangle)} = 2(length + breadth)}}}}$

$\dag\;{\underline{\frak{Putting\;values\;in\;formula,}}}$

$:\implies\sf 2[x + (2x + 2)] = 154$

$:\implies\sf x + (2x + 2) = \cancel{ \dfrac{154}{2}}$

$:\implies\sf x + (2x + 2) = 77$

$:\implies\sf 3x + 2 = 77$

$:\implies\sf 3x = 77 - 2$

$:\implies\sf 3x = 75$

$:\implies\sf x = \cancel{ \dfrac{75}{3}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 25}}}}}\;\bigstar$

Therefore,

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

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$\qquad\qquad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:Formula\:Related\:to\:AP\:\bigstar}}}}$

• Area of rectangle = length × breadth

• Diagonal of rectangle = √(length)² + (breadth)²

• Area of square = side × side

• Perimeter of square = 4 × side

• Diagonal of square = √2 × side