Solution:-

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Here it is given in the question that adjacent sides of a PARALLELOGRAM are in the ratio 1:3 and their perimetre is 88 cm. Now, the question has asked us to find out the length of those sides. So, to find the length of those sides, assume the adjacent sides as 1x and 3x. And after that by applying the formula of perimeter of parallelogram we will find the length of sides.

ANSWER:-

⬤ Length of 1st side = 11 cm

⬤ Length of 2nd side = 33 cm

⬤ So, option C is correct.

GIVEN:-

⟼ 1st side = 1x

⟼ 2nd side = 3x

TO FIND:-

⟿ Length of the sides = ?

FORMULA:-

➜ Perimeter = 2(a + b) [For FINDING the length of sides]

SOLVING BY APPLYING THE FORMULA:-

⟼ 1st side = 1x

⟼ 2nd side = 3x

➜ Perimeter = 2(a + b)

• Finding the side:-

Perimeter is 88 cm.

So,

➜ 88 cm = 2(1x + 3x)

Adding the terms:- 1x + 3x = 4X

So,

➜ 88 cm = 2 × 4x

Multiplying the terms:- 2 × 4x = 8x

So,

➜ 88 cm = 8x

Taking 8 to L.H.S:- 88 / 8 cm

So,

➜ 88 / 8 cm = x

Dividing the terms:- 11 / 1

So,

➜ 11/ 1 = x

Final Answer:- 11

So,

➜ 11 = x

• Sides:-

➜ 1st side = 1x

⠀⠀⠀⠀⠀1x = 1 × 11

⠀⠀⠀⠀⠀⠀⠀= 11

1st side is 11 cm.

➜ 2nd side = 3x

⠀⠀⠀⠀⠀⠀3x = 3 × 11

⠀⠀⠀⠀⠀⠀ ⠀= 33

2nd side is 33 cm.

VERIFICATION:-

➜ 2(11 cm + 33 cm)

➜ 2 × 44 cm

➜ 2 × 44 cm = 88 cm

➜ 88 cm

∴ L.H.S = R.H.S

Hence, verified.

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