Question
Download Solution PDFThe ratio of two sides of a parallelogram is 3 : 5 and its perimeter is 96 cm. Find the adjacent side of the parallelogram.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of two sides = 3 : 5
Perimeter = 96 cm
Formula used:
Perimeter of parallelogram = 2 x (sum of adjacent sides)
Calculations:
Let the sides be 3x and 5x.
Perimeter = 2 x (3x + 5x)
96 = 2 x (8x)
96 = 16x
⇒ x = 96 / 16
⇒ x = 6
Adjacent sides are 3x and 5x.
3x = 3 x 6 = 18 cm
5x = 5 x 6 = 30 cm
∴ The adjacent sides of the parallelogram are 18 cm and 30 cm.
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