Question

Two adjacent sides of a parallelogram are in the ratio 2:3 and its perimeter is 50cm .Find the sides of the parallelogram.​

Answer 1

Answer:

• 10 cm & 15 cm is the required side of Parallelogram

Step-by-step explanation:

Solution:-

As we know that Opposite Side of Parallelogram is equal.

Let the Ratio of side be 2x ,3x

And it is given that perimeter of the parallelogram is 50 cm.

• Perimeter = 2 (length+base)

Substitute the value we get

→ 50 = 2 (2x+3x)

→ 50 = 2(5x)

→ 50 = 10x

→ x = 50/10

→ x = 5 cm

2x = 2×5 = 10 cm

3x = 3×5 = 15 cm

• Hence, the side of Parallelogram is 10 cm & 15 cm.

Answer 2

Answer:

Given :-

• Adjacent sides of Parallelogram are in ratio 2:3
• Perimeter of Parallelogram = 50

To Find :-

Sides of Parallelogram

Solution :-

Let the ratio be 2x and 3x

As we know that

$\tt \: Perimeter \: of \: Parallelogram = 2(Length \: + Base)$

$\tt \: 50 = 2(2x + 3x)$

$\tt \: 50 = (2 \times 2x) + (2 \times 3x)$

$\tt \: 50 = 4x + 6x$

$\tt \: 50 = 10x$

$\tt \: x = \dfrac{50}{10}$

$\tt \: x = 5 \: cm$

Finding sides

Length = 3x = 3(5) = 15 cm

Base = 2x = 2(5) = 10 cm