Question

3.
the measure of all the
parallelogram.
The ratio of the adjacent sides of a parallelogram is as 3:5 and its perimeter is 40 cm. Find the
sides of the parallelogram.
The ratio of adjacent sides of a parallelogram is as 7: 8 and its perimeter
sides of​

Answer 1

Answer:

Given that, the ratio of the two adjacent sides of a parallelogram is 5:8. So, let the two adjacent sides of the ||gm are 5x and 8x respectively.

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

\underline{\bigstar\:\textsf{According to the given Question :}}

★According to the given Question :

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Perimeter of the Parallelogram is 52 cm.

And, we know that the opposite sides of parallelogram are equal and opposite.

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Therefore,

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\begin{gathered}:\implies\sf 5x + 8x + 5x + 8x = 52 \\\\\\:\implies\sf 26x = 52 \\\\\\:\implies\sf x = \cancel\dfrac{52}{26}\\\\\\:\implies{\underline{\boxed{\sf{x = 2}}}}\end{gathered}

:⟹5x+8x+5x+8x=52

:⟹26x=52

:⟹x=

26

52

:⟹

x=2

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Hence,

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First side, 5x = 5(2) = 10 cm

Second side, 8x = 8(2) = 16 cm

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\therefore{\underline{\sf{Hence, \;sides\;of\;||^{gm}\;are\;\bf{10cm, 16cm, 10cm \;\&\;16cm\; respectively }.}}}∴

Hence,sidesof∣∣

gm

are10cm,16cm,10cm0