Mathematics
The adjacent sides of a parallelogram are in the ratio 5 : 4. If the perimeter of the parallelogram is 108 cm, find the length of its sides.
Quadrilaterals
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Answer
The adjacent sides of a parallelogram are in the ratio 5 : 4.
And, the perimeter of the parallelogram is 108 cm.
As we know opposite sides of a parallelogram are equal.
Let the length of AB = CD = 5a
And, the length of BC = DA = 4a
Perimeter of parallelogram = sum of all length of sides.
⇒ 5a + 4a + 5a + 4a = 108 cm
⇒ 18a = 108 cm
⇒ a = cm
⇒ a = 6 cm
So, the length of AB = CD = 5a
= 5 x 6 cm
= 30 cm
And, the length of BC = DA = 4a
= 4 x 6 cm
= 24 cm
Hence, the lengths of all the sides are 30 cm, 24 cm, 30 cm, and 24 cm.
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