the ratio of two sides of a parallelogram is 3 ratio 5 and its perimeter is 80 cm find the sides of the parallelogram
Answers
Answer:
The ratio of sides are 3 : 5.
Therefore, the length be 5x and the breadth be 3x.
Perimeter = 80 cm
2( l + b ) = 80 cm
2( 5x + 3x ) = 80 cm
2( 8x ) = 80 cm
8x = 80 / 2
8x = 40
x = 40 / 8
x = 5 cm.
Therefor, Length = 5x = 5 x 5 = 25 cm.
Breadth = 3x = 3 x 5 = 15 cm.
Mark me as a brainliests thank you.
Answer:
- Sides of parallelogram are 15 cm and 25 cm.
Step-by-step explanation:
GivEn:
- The ratio of two sides of a parallelogram is 3:5.
- Perimeter of parallelogram is 80 cm.
To find:
- Sides of parallelogram?
Solution:
☯ Let two adjacent sides of a parallelogram be 3x and 5x.
According to the Question:
- Perimeter of parallelogram is 80 cm.
We know that,
Perimeter of Parallelogram = 2 × (sum of adjacent sides)
→ 2 × (3x + 5x) = 80
→ (3x + 5x) = 80/2
→ (3x + 5x) = 40
→ 8x = 40
→ x = 40/8
→ x = 5
Therefore,
- 3x = 3 × 5 = 15 cm
- 5x = 5 × 5 = 25 cm
Hence, adjacent sides of parallelogram are 15 cm and 25 cm.
⠀⠀━━━━━━━━━━━━━━━━━━━━━
★ More to know:
- A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
- Area of parallelogram = Base × Height.