Question

math
$if \: the \: length \: is = 2x \\ the \: breath \: is \: = x \\ then \: the \: perimeter \: of \: rectangle \: is = 100$
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Answer 1

Question

If length of a rectangle is 2x, and it's perimeter and breadth are 100 units and x units respectively. Find Dimensions of the Rectangle

____________________

Answer :

• Length is 33.34 units
• Breadth is 16.67 units

Explanation :

• Length = 2x
• Breadth = x
• Perimeter = 100 unit

Use formula for Perimeter :

$\longrightarrow \sf{Perimeter \: = \: 2(Length \: + \: Breadth)} \\ \\ \longrightarrow \sf{100 \: = \: 2(2x \: + \: x)} \\ \\ \longrightarrow \sf{100 \: = \: 2(3x)} \\ \\ \longrightarrow \sf{100 \: = \: 6x} \\ \\ \longrightarrow \sf{x \: = \: \dfrac{100}{6}} \\ \\ \longrightarrow \sf{x \: = \: 16.67} \\ \\ \underline{\underline{\sf{Breadth \: = \: 16.67 \: units}}}$

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And,

$\longrightarrow \sf{Length \: = \: 2(Breadth)} \\ \\ \longrightarrow \sf{Length \: = \: 2(16.67)} \\ \\ \longrightarrow \sf{Length \: = \: 33.34} \\ \\ \underline{\underline{\sf{Length \: is \: 33.34 \: units}}}$

Answer 2

$\sf{\pink{\underline{\underline{Given:-}}}}$

$\sf{The\:length\:and\:breadth\:of\:a\:rectangle\:is\:2x\:and\:x\:respectively}$

$\sf{Perimeter\:=\:100\:unit}$

$\sf{\blue{\underline{\underline{To\:find:-}}}}$

$\sf{Length\:and\:breadth\:of\:the\:rectangle}$

$\sf{\orange{\underline{\underline{Answer:-}}}}$

$\sf{Perimeter\:of\:a\:rectangle\:is\:the\:sum\:of\:the\:length\:of\:its\:all\:four\:sides.}$

★ Formula for perimeter of a rectangle = $\sf{\red{\large{\boxed{\boxed{2\:*\:(L\:+\:B):-}}}}}$

$\bf{\underline{where,}}$

$\sf{L\:is\:the\:length\:of\:the\:rectangle\:and,}$

$\sf{B\:is\:the\:breadth\:of\:the\:rectangle}$

$\bf{\underline{here,}}$

$\sf{L\:=\:2x\:unit}$

$\sf{B\:=\:x\:unit}$

★ Perimeter of the rectangle = 2 * (2x + x) unit

⟶ $\sf{2\:*\:(3x)\:unit}$

⟶ $\sf{6x\:unit}$

★ $\sf{Given:\:Perimeter\:=\:100unit}$

$\sf{\underline{Therefore,}}$

⟶ $\sf{6x\:=\:100}$

⟶ $\sf{x\:=\:16.67}$

☞ $\sf{Length\:L\:=\:2x\:=\:33.34\:unit}$

☞ $\sf{Breadth\:=\:B\:=\:x\:=\:16.67\:unit}$

Answer

$\green{\sf{\huge{\boxed{\boxed{L\:=\:33.34\:unit}}}}}$

$\blue{\sf{\huge{\boxed{\boxed{B\:=\:16.67\:unit}}}}}$