Two adjacent side of a parallelogram are (3x+25)degree and (2x-5)degree and its perimeter is 60 centimetres find the larger side.
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Answers
Let the sides be 2x cm & 3x cm
We know,
Perimeter of Parallelogram
= 2 × Sum of Adjacent sides
According to Question,
Perimeter of Parallelogram = 50 cm
2(2x + 3x) = 50
⇒ 5x = 50 / 2
⇒ 5x = 25
⇒ x = 25 / 5
⇒ x = 5
Required Adjacent Sides »
One Side = 2x = 2(5) = 10 cm
Another Side = 3x = 3(5) = 15 cm
Clearly, 15 cm > 10 cm
Hence, 15 cm is the larger side or Base of the parallelogram.
Corresponding Altitude = 10 cm
Area of Parallelogram
= (Base × Altitude) Square Units
= (15 × 10) cm²
= 150 cm²
Hence, the area of Parallelogram is 150cm².
Answer:
Let the sides be 2x cm & 3x cm
We know,
Perimeter of Parallelogram
= 2 × Sum of Adjacent sides
According to Question,
Perimeter of Parallelogram = 50 cm
2(2x + 3x) = 50
⇒ 5x = 50 / 2
⇒ 5x = 25
⇒ x = 25 / 5
⇒ x = 5
Required Adjacent Sides »
One Side = 2x = 2(5) = 10 cm
Another Side = 3x = 3(5) = 15 cm
Clearly, 15 cm > 10 cm
Hence, 15 cm is the larger side or Base of the parallelogram.
Corresponding Altitude = 10 cm
Area of Parallelogram
= (Base × Altitude) Square Units
= (15 × 10) cm²
= 150 cm²
Hence, the area of Parallelogram is 150cm².
Step-by-step explanation:
Hope this answer will help you.