A parallelogram has a base of 12 cm and a height of 9 cm. If the side length…
2024
A parallelogram has a base of 12 cm and a height of 9 cm.
If the side length adjacent to the base is 7 cm, then find
the ratio of the perimeter and area of the parallelogram?
- A.
17:54
- B.
19:54
- C.
17:52
- D.
19:52
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Solution:
Compute the area: area = base × height = 12 × 9 = 108 cm².
Compute the perimeter: perimeter = 2 × (base + adjacent side) = 2 × (12 + 7) = 2 × 19 = 38 cm.
Form the ratio perimeter:area = 38:108.
Simplify the ratio by dividing both terms by their greatest common divisor 2: 38 ÷ 2 : 108 ÷ 2 = 19:54.
Answer: 19:54.