Question

One side of a parallelogram is 3by 4 times is adjacent side. If the perimeter of the parallelogram is 70 cm, Find the sides of the parallelogram. If any body will give wrong answer or not writing solutions Step by step I report against him​

Answer 1

GivEn:

• One side of a parallelogram is ¾ times is adjacent side.
• Perimeter of the Parallelogram is 70 cm.

To find:

• Sides of parallelogram?

Solution:

☯ Let two adjacent sides of parallelogram be x and y respectively.

GivEn that,

• One side of a parallelogram is ¾ times is adjacent side.

Therefore,

➯ y = ¾ x ⠀⠀⠀⠀⠀⠀⠀❬eq (❶)❭

Now,

★ According to the Question:

• Perimeter of the Parallelogram is 70 cm.

➯ 2(x + y) = 70

➯ 2(x + ¾ x) = 70

➯ x + ¾ x = 70/2

➯ x + ¾ x = 35

➯ (4x + 3x)/4 = 35

➯ 7x/4 = 35

➯ 7x = 35 × 4

➯ 7x = 140

➯ x = 140/7

➯ x = 20

Now, Substituting value of x in eq (1),

➯ y = 3/4 × 20

➯ y = 15

∴ Hence, two adjacent sides of parallelogram is 20 cm and 15 cm respectively.

And, We know that,

• Opposite sides of a parallelogram are equal and parallel.

∴ So, the sides of parallelogram are 20 cm, 20 cm, 15 cm and 15 cm.

Answer 2

$\huge\bf\orange{Answer}$

➝ One side is 20 cm.

➝ Other side is 15 cm.

$\huge\bf\pink{Solution}$

☞ See the attachment diagram .

Let the side PQ be x cm.

➜ According to the question,

• The adjacent side (QR) = $\sf{\dfrac{3}{4}x}$

We know that,

$\bigstar\:\bf\blue{Perimeter\:of\:a\: parallelogram\:=\:2\times{Sum\:of\: two\: adjacent\:sides\:}}$

Given that,

• The perimeter of the parallelogram is 70 cm .

$\implies\:\rm{2\times{(PQ\:+\:QR)}\:=\:70}$

$\implies\:\rm{2\times{(x\:+\:\dfrac{3}{4}x)}\:=\:70}$

$\implies\:\rm{2\times{\dfrac{4x\:+\:3x}{4}}\:=\:70}$

$\implies\:\rm{\dfrac{7x}{2}\:=\:70}$

$\implies\:\rm{7x\:=\:70\times{2}}$

$\implies\:\rm{x\:=\:\dfrac{70\times{2}}{7}}$

$\implies\:\rm{x\:=\:10\times{2}}$

$\implies\:\bf{x\:=\:20\:cm}$

• PQ = x = 20 cm

$\implies\:\rm{QR\:=\:\dfrac{3}{4}x}$

$\implies\:\rm{QR\:=\:\dfrac{3}{4}\times{20}}$

$\implies\:\rm{QR\:=\:3\times{5}}$

$\implies\:\bf{QR\:=\:15\:cm}$

$\therefore$ The sides of the parallelogram are 20cm and 15cm .