Question

4. If the adjacent sides of a parallelogram are
in the ratio 2 : 3 and the sum of all the sides
is 50 cm, find the measure of the sides of the
parallelogram.​

Answer 1

Answer:

10cm, 15cm, 10cm and 15cm.

Step-by-step explanation:

Let 2x and 3x be the two adjacent sides.

$\rm{Given,}$

• Perimeter of the parallelogram is 50cm.

$\rm{To \: find}$,

• All the sides of the parallelogram

$\rm{Knowledge \: required}$,

• Opposite sides of a parallelogram are equal.

So, we get all the sides as 2x,3x,2x and 3x.

$\rm{Finding \: x}$

2x + 3x + 2x + 3x = 50

⇒ 5x + 5x = 50

⇒10x = 50

⇒x = 50/10

⇒x = 5

${\fbox{\bf{.°.x=5}}}$

$\rm{Finding \: the \: sides}$

• 2x = 2 × 5 = 10
• 3x = 3 × 5 = 15
• 2x = 2 × 5 = 10
• 3x = 3 × 5 = 15

Hence, the sides of the parallelogram are 10cm, 15cm, 10cm and 15cm.