Question

(d) Length of a rectangle is 6 m less than twice its breadth. The perimeter of the rectangle is 240 m.
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Answer 1

Answer:

l = 38 m ; b = 82 m

Step-by-step explanation:

length= x

breadth=2x+6

P=2(x+2x+6)=2(3x+6)=6x+12=240

  6x+12=240

  x+2=40

  x=38

Answer 2

GivEn:

• Length of rectangle is 6 m less than twice of its breadth.
• Perimeter of rectangle = 240 m

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To find:

• Length and breadth.

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Formula used:

• Perimeter of rectangle = 2(l + b)

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Solution:

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☯ Let breadth of rectangle be x cm.

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Given that,

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• Length of rectangle is 6 m less than twice of its breadth.

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Therefore,

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☯ Length of rectangle is (2x - 6) cm

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(1.8,-0.7)(0,4.2){2}{\sf\large (2x - 6) cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large x cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

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${\underline{\sf{\bigstar\: According\:to\:the\: Question\::}}}$

$:\implies\sf 2(x + (2x - 6)) = 240$

$:\implies\sf x + (2x - 6) = \cancel{ \dfrac{240}{2}}$

$:\implies\sf x + (2x - 6) = 120$

$:\implies\sf 3x - 6 = 120$

$:\implies\sf 3x = 120 + 6$

$:\implies\sf 3x = 126$

$:\implies\sf x = \cancel{ \dfrac{126}{3}}$

$:\implies{\underline{\boxed{\sf{\pink{x = 42}}}}}\;\bigstar$

Therefore,

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• Breadth of Rectangle, x = 42 cm
• Length of Rectangle, (2x - 6) = 84 - 6 = 78 cm