Question

the lenght of a rectangle is twice its breadth. if the perimeter is 72 meter, find the lenght and breadth of the rectangle

Answer 1

• Let the breadth of rectangle be x.Thus, the length will be 2x.And we given – Perimeter is 72 meter.

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$\qquad$$\pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }$

$\qquad$$\sf \longrightarrow 72 = 2( 2x + x)$

$\qquad$$\sf \longrightarrow 72 = 6x$

$\qquad$$\sf \longrightarrow x =\cancel{\dfrac{72}{6}}$

$\qquad$$\pink{\bf\longrightarrow x = 12 \: m}$

• Breadth of rectangle is 12 m.

We know that, value of x is '12'. Therefore, we'll substitute the value of x in given Length 2x to find out the Length. Therefore —

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$\qquad$ $\twoheadrightarrow\sf Length = \Big\{2x \Big\}$

$\qquad$ $\twoheadrightarrow\sf Length = 2 \times 12$

$\qquad$ $\purple{\twoheadrightarrow{\pmb{\sf{Length = 24\;m}}}}$

• Hence, length will be 24 m.

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More To know :-

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☀️$\sf Area _{(Rectangle) }= \bf{Length \times Breadth}$

☀️$\sf Diagonal_{(Rectangle)} = \bf{\sqrt{(Length)^2 + (Breadth)^2}}$

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Answer 2

Given :

• The length of a rectangle is twice its breadth and it's perimeter is 72 m, We are to find the length and breadth of the rectangle.

$\:$

Solution :

Let's assume the breadth of the rectangle as x then the length will become 2x.

We know that,

• Perimeter = 2( length + breadth)

So,

According to the Question :

⇢ 72 = 2( 2x + x)

⇢ 72 = 2(3x)

⇢ 72 = 6x

⇢ 6x = 72

⇢ x = 72/6

⇢ x = 12

Hence,

• Breadth = 12m
• Length = 2(12)m = 24m