Question

The ratio of sides of parallelogram is 3:5. Its perimeter is 40 cm. Find length of each side.​

Answer 1

The ratio of sides of parallelogram is 3:5. Its perimeter is 40 cm. Find length of each side.

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Answer 2

Answer:

Given

• Ratio of sides of parallelogram = 3:5

• Perimeter = 40 cm

To Find

• Lenght of each side

Using concept

• Here I am using Perimeter formula of Parallelogram.

Using Formula

• Perimeter = 2(Length + Breadth)

Solution

Here we will keep the length of side will "X"

So,

$: \red\implies \sf \purple{3 × X} = \pink{ 3x}$

$: \red\implies\sf \purple{5 × X} = \pink {5x}$

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Now,

$: \red\implies \sf \purple{2( 3x+5x)}= \pink{ 40}$

$: \red\implies\sf\purple{(8x)}=\pink{\cancel\dfrac{40}{2} }$

$: \red\implies \sf \purple{(8x)} = \pink {20}$

$: \red\implies \sf \purple{x} = \pink{\cancel\dfrac{20}{8} }$

$:\red\implies\sf \purple{x }=\pink{2.5}$

$\large \boxed{\mathfrak\purple{x }= \pink {2.5}}$

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Side -

$: \pink\longrightarrow\sf \red{Length} = \blue{3 × 2.5 = 7.5 cm}$

$: \pink \longrightarrow\sf \red{Breath} = \blue {5 × 2.5 = 12.5 cm}$

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Verification

${:\red\implies\sf\pink{Perimeter} = \purple{ 2 (Lenght + Breadth)}}$

$: \red\implies\sf \pink{P} = \purple {2 (7.5+12.5)}$

$: \red \implies \sf\pink{P }= \purple{2 × 20}$

$: \red\implies \sf\pink{P }= \purple{40 }$

$\huge \pink \dag \: \large\sf \purple{Hence \: Verified }$

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