Question

THE SIDES OF A QUADRILATERAL ARE IN RATIO 1:2:3:4 AND ITS PERIMETER IS 40 cm
FIND THE LENGTH OF THE EACH SIDE

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Answer 1

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Answer 2

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FORMULA TO BE IMPLEMENTED

QUADRILATERAL

• Quad stands for FOUR
• Lateral stands for SIDE

Quadrilateral is a polygon with four sides and four vertices

PERIMETER OF A QUADRILATERAL

Perimeter of a quadrilateral = Sum of the four sides

GIVEN

• THE SIDES OF A QUADRILATERAL ARE IN RATIO 1:2:3:4
• PERIMETER IS 40 cm

TO DETERMINE

THE LENGTH OF THE EACH SIDE

EVALUATION

$\sf{The \: sides \: of \: the \: Quadrilateral \: are \: in \: the \: ratio }$

$= \sf{ \: 1 : 2 : 3 : 4}$

$\sf{Let \: the \: sides \: of \: the \: Quadrilateral \:are }$

$\sf{ x \: cm\: ,\: 2x \: cm\: ,\: 3x \: cm \: , \: 4x \: cm\: \: respectively\: }$

$\sf{ Hence \: \: Perimeter \: }$

$= \sf{(x + 2x + 3x + 4x) \: \: \: cm \: }$

$\sf{ = 10x \: \: cm}$

According to the given condition

$\sf{10x = 40}$

$\implies { \displaystyle \sf\:x = \frac{40}{10} \: \: \: } \: \:$

$\implies { \displaystyle \sf\:x = 4\: \: \: } \: \:$

Hence the sides of Quadrilateral are

$\sf{4 \: cm ,\: 8 \: cm ,\: 12 \: cm, \: 16 \: cm \: }$

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