Question

The length of the rectangular field is twice its breadth. If the perimeter of the field is 216 m, find its length and breadth.

Answer 1

Answer of this question

Answer 2

GivEn:

• The length of the rectangular field is twice its breadth.

• Perimeter of the Rectanglular field = 216 m

To find:

• Length and breadth of Rectanglular field.

SoluTion:

$\bf \underline{\bigstar\;According\;to\; Question\;:}$

The length of the rectangular field is twice its breadth.

So,

★ Let breadth of Rectanglular field = x

★ Therefore, Length of Rectanglular field = 2x

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Here, given that,

Perimeter of the Rectanglular field = 216 m

So, As we know that,

$\star\;{\boxed{\sf{\purple{Perimeter\;of\; Rectangle = 2(l + b)}}}}$

Therefore,

$:\implies\sf 2(x + 2x) = 216$

⠀⠀⠀

$:\implies\sf 2(3x) = 216$

⠀⠀⠀

$:\implies\sf 6x = 216$

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$:\implies\sf x = \cancel{ \dfrac{216}{6}}$

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$:\implies{\underline{\boxed{\sf{\pink{x = 36\;cm}}}}}\;\bigstar$

Therefore,

• Breadth of Rectanglular field, x = 36 cm

• Length of Rectanglular field, 2x = 2 × 36 = 72 cm

⠀⠀⠀

⋆ DIAGRAM:

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.3,2){\sf{\large{36 m}}}\put(9.2,0.7){\sf{\large{72 m}}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

Rectangular field having length and breadth 72 cm and 36 cm respectively. ⠀

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━

★ Additional Information:

• Area of Rectangle = Length × Breadth

• Diagonal of Rectangle = $\sf \sqrt{Breadth^2 + Length^2}$