Question

The perimeter of a rectangle is 200cm . Its length is three times its breadth . Find its length and breadth.

Answer 1

Step-by-step explanation:

Let the breadth of a rectangle be 'x'cm .

Length= 3* x = 3x cm

According to the question,

$2(length \: + \: breadth) = 200$

$2(3x + x) = 200$

$4x = \frac{200}{2}$

$4x = 100$

$x = \frac{100}{4}$

$x = 25$

Breadth = 25cm

Length = 3 * 25 cm. = 75 cm.

Answer:- Length and breadth of a rectangle is 25 cm and 75 cm respectively.

Answer 2

Step-by-step explanation:

Given: The perimeter of a rectangle is 200cm. The length of the rectangle is three times to its breadth.

Need to find: Length and Breadth ?

❏ Let the breadth of the rectangle be x. Then, the length of the rectangle is 3x.

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__________________

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$\frak{\underline{\underline{\dag As\ we\ know\ that:-}}}$

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$\star\;\boxed{\sf{\purple{Perimeter_{(rectangle)}\ =\ 2(L\ +\ B).}}}$

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$\bf {Here} \begin{cases} &\sf{Perimeter\ =\ 200cm.} \\ &\sf{Length\ =\ 3x.} \\ &\sf{Breadth\ =\ x.} \end{cases}$

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Therefore,

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$\sf : \implies {Perimeter\ =\ 2(L\ +\ B)} \\ \\ \\ \sf : \implies {200\ =\ 2(3x\ +\ x)} \\ \\ \\ \sf : \implies {\cancel \dfrac{200}{2}\ =\ 4x} \\ \\ \\ \sf : \implies {100\ =\ 4x} \\ \\ \\ \sf : \implies {\cancel \dfrac{100}{4}\ =\ x} \\ \\ \\ \sf : \implies {25\ =\ x} \\ \\ \\ \sf : \implies {\underline{\fbox{\purple{\bf x\ =\ 25.}}}}\bigstar$

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Hence,

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• Breadth = x = 25cm.
• Length = 3x = 3 × 25 = 75cm.

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$\sf \therefore {\underline{The\ required\ length\ is\ \bf 75cm\ \sf and\ breadth\ is\ \bf 25cm.}}$