Question

The perimeter of a parallelogram is 85 cm , if the ratio of two sides of the parallelogram is 2 : 3 , find the length of the sides of the parallelogram .

Answer 1

$\Large{\underline{\underline{\bf{Given:-}}}}$

Perimeter of Parallelogram= 85cm

Ration of their sides are 2:3

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$\Large{\underline{\underline{\bf{To \: find:-}}}}$

The length of the sides of the Parallelogram= ?

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$\Large{\underline{\underline{\bf{Formula\: used:-}}}}$

Perimeter = 2(w + h)

Here, w = base of parallelogram

And, h = Height of parallelogram

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$\Large{\underline{\underline{\bf{Solution:-}}}}$

Let the base of parallelogram is 2x

And, the height of parallelogram is 3x

${\bold{\underline{\underline{According\:to \: the \: Question:-}}}}$

$⟹perimeter = 2(w + h) \\ \\⟹ 85= 2(2x + 3x) \\ \\ ⟹85 = 4x + 6x \\ \\⟹ 85 = 10x \\ \\⟹ \frac{85}{10} = x \\ \\⟹ 8.5 = x$

$\boxed{x = 8.5}$

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${\bold{\underline{\underline{Putting\: value\: of \: x \: :-}}}}$

⁕Base of parallelogram = 2x = 2(8.5) = 17cm

⁕Height of parallelogram = 3x = 3(8.5)= 25.5cm

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$\Large{\underline{\underline{\bf{Thanks}}}}$

Answer 2

Step-by-step explanation:

Given:

• Perimeter of a Parallelogram is 85 cm.
• Ratio of its two sides is 2 : 3

To Find:

• What is the measure of length of sides of parallogram?

Solution: Let x be the common in given ratio.

• Base = 2x
• Height = 3x

★ Perimeter of Parallogram = 2 (Base + Height )

A/q

$= > 85 = 2(2x + 3x) \\ \\ = > 85 = 2(5x) \\ \\ = > 85 = 10x \\ \\ = > \frac{85}{10} = x \\ \\ = > 8.5 = x$

Hence, The measure of base = 2x = 2(8.5) cm = 17 cm and

Measure of Height = 3x = 3(8.5) cm = 25.5 cm