find the ratio of two sides of a parallelogram is 3:5 and its perimeter is 48 cm find the sides of the pareallogram
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- The first side is 9 cm.
- The second side is 15 cm.
Given :–
- The ratio of two sides of a parallelogram = 3 : 5.
- Perimeter of a parallelogram = 48 cm.
To Find :–
- The two sides of the parallelogram.
Solution :–
Let,
The first side be 3x.
The second side be 5x.
We know that,
Perimeter of a parallelogram = 48 cm.
→ 2(a + b) = 48 cm ––––(1)
- a = 3x.
- b = 5x.
Firat, we need to find the value of x.
→ 2(3x + 5x) = 48 cm
→ 2 × 8x = 48 cm
→ 8x = cm
→ 8x = 24 cm
→ x = cm
→ x = 3 cm.
Now, we have to find the both sides.
First side = 3x = 3 × 3 = 9 cm.
Second side = 5x = 5 × 3 = 15 cm.
Hence,
The first side is 9 cm and the second side is 15 cm.
Verification :–
In equation (1),
→ 2(a + b) = 48 cm
Here,
- a = 9 cm.
- b = 15 cm.
Now, substitute this values in equation (1),
→ 2(9 cm + 15 cm) = 48 cm
→ 2(24 cm) = 48 cm
→ 48 cm = 48 cm
Hence Verified !!
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