the ratio of two sides of a parallelogram is 3:5 and it's perimeter is 80 cm. find the sides of the parallelogram
Answers
Let one side be 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same
Perimeter = sum of all side
64=5x+3x+5x+3x
64=16x
x=4
So sides of parallelogram are 20,12,20,12
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Given :
- The ratio of two sides of a parallelogram is 3:5 and it's perimeter is 80 cm.
To Find :
- The sides of of the parallelogram = ?
Solution :
Let the ratio constant be x. Therefore two adjacent sides of the parallelogram are 3x cm and 5x cm in length.
- Perimeter of parallelogram = 80 cm
★ Finding sides of parallelogram :
→ Perimeter of parallelogram = 2 × Sum of the adjacent sides
→ 80 cm = 2 × (3x + 5x)
→ 80 = 2 × (8x)
→ 80 ÷ 2 = 8x
→ 40 = 8x
→ x = 40 ÷ 8
→ x = 5 cm
★ Hence,sides of the parallelogram :
→ 3x = 3(5) = 15 cm
→ 5x = 5(5) = 25 cm
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★ Verification :
→ 80 cm = 2 × (3x + 5x)
→ 80 = 2 × (8x)
→ 80 = 2 × 8 × 5
→ 80 = 2 × 40
→ 80 = 80
LHS = RHS
Hence, Verified !
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