Math, asked by nairanishanth908, 7 months ago

The ratio between the length and breadth of a rectangle is 5:4.If the perimeter of the rectangle is 90 m, find its length and bread

Answers

Answered by reshmabetageri69
6

Step-by-step explanation:

ANSWER

Let the length and breadth of a rectangle be x,y respectively

Given Ratio of length and breadth of the rectangle is 3:1

⟹x:y=3:1⟹

y

x

=

1

3

⟹x=3y

Perimeter of a rectangle is 36 cm

⟹2(x+y)=36

⟹3y+y=18⟹y=

4

18

=4.5

⟹x=3y=3×4.5=13.5

The length and breadth of a rectangle is 4.5 cm,13.5 cm respectively

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Answered by gugan64
23

Answer:

 \huge \sf{ \underline{given \ \: : }}

 \sf \: 5 \ \: : 4  \: is \: the \: ratio

 \sf \: perimeter \: of \: the \: rectangle  \\  \sf{90 \: cm \: . \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }

 \huge \sf{ \underline{to \: find \ \: : }}

 \sf{length \: and \: breath \: of \: the \: rectangle}

 \huge \sf{ \underline{let \: us \: solv e\ \: : }}

 \sf{ \underline{ \underline{note \ \: : }}}

 \bf \: perimeter \: of \: rectangle \ \: :

 \sf2(length \:  +  \: breadth)

 \sf \to2(5x + 4x) = 90 \\

\sf \to2(9x) \:  =  \: 90

 \sf \to9x \:  =  \:  \frac{90}{2}

 \sf \to9x = 45

 \sf \to \: x =  \frac{45}{9}

 \bf \to \: x = 5

 \sf{ \underline{let \: us \: substute}}

 \sf \: l \:  =  \: 5x

 \sf \: l \:  =  \: 5\times5

 \sf \: l \:  =  \: 25

 \sf \: b \:  =  \: 4x

 \sf \: b\:  =  \: 4\times5

 \sf \: b \:  =  \: 20

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