*Adjacent sides of a parallelogram are in the ratio 1:3 and their perimeter is 88 cm then find the length of those sides.*
1️⃣ 22,66
2️⃣ 20,60
3️⃣ 11,33
4️⃣ 10,30
Answers
★ Given :
Adjacent sides of a parallelogram are in the ratio 1:3 and their perimeter is 88 cm.
★ To Find :
Sides of parralegram
★ Solution :
Let the adjacent sides be 1x and 3x.
2 (a +b) = Perimeter of Parralegram
➤ 2 (1x + 3x) = 88
➤ 2 × 4x = 88
➤ 8x = 88
➤ x = 88/8
➤ x = 11 cm.
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Now Putting the values
➥ 1x = 11
➥ 3x = 33
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∴ Third option is Right Answer
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Given :
- Adjacent sides of a parallelogram are in the ratio 1:3.
- Perimeter of Parallelogram = 88cm
To Find :
- Length of those sides.
Solution :
✰ As we know that, Perimeter of Parallelogram is given by 2 ( Sum of Sides ) . So Simply we will put the given values in the formula to find the sides of Parallelogram.
⠀⠀⠀
⟶ Let 1st side be 1x
⟶ Let 2nd side be 3x
According to the Question :
⟹ Perimeter = 2 (Sum of Sides)
⟹ 88 = 2 (1x + 3x)
⟹ 88 = 2 × 4x
⟹ 88 = 8x
⟹ 88 / 8 = x
⟹ 11 = x
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Verification :
➟ Perimeter = 2 (Sum of Sides)
➟ Perimeter = 2 (1x + 3x)
➟ Perimeter = 2 (1 × 11 + 3 × 11)
➟ Perimeter = 2 (11 + 33)
➟ Perimeter = 2 × 44
➟ 88 = 88
Hence Verified
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Therefore :
- 1st side = 1x = 1 × 11 = 11cm
- 2nd side = 3x = 3 × 11 = 33cm
Thus Correct Option is 3
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