Question

The ratio of the sides of a parallelogram is 3:5. If the perimeter is 80cm, find the measure of each side​

Answer 1

Given :

• The ratio of the sides of a parallelogram is 3:5.
• Perimeter = 80 cm.

To Find :

• The measure of each side.

Solution :

Let's assume that :

• Side 1 = 3x
• Side 2 = 5x

★ Perimeter of parallelogram = Sum of all sides

★ Opposite sides of a parallelogram are equal.

So,

The sides are : 3x, 3x, 5x and 5x.

Now :

$\sf \longrightarrow \: 3x + 3x + 5x + 5x = 80$

$\sf \longrightarrow \: 6x + 10x = 80$

$\sf \longrightarrow \: 16x = 80$

$\sf \longrightarrow \:x = \dfrac{80}{6}$

$\sf \longrightarrow \:x = \cancel\dfrac{80}{6}$

$\red{ \sf \longrightarrow \: \boxed{ \bf{x = 5}} \: \bigstar}$

So, value of x is 5.

★ The sides are :

• 3x = 3(5) = 15 cm
• 5x = 5(5) = 25 cm

Hence, the sides of the parallelogram are 15 cm and 25 cm.

Answer 2

Answer:

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Step-by-step explanation:

ans #15 and 25