in the given figure, ABCD is a parallelogram and its perimeter is 46 cm, find the value of x and y
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Answer:
the value of x=10
y=2
Step-by-step explanation:
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Given,
ABCD is a parallelogram
Perimeter = 46 cm
AB = 15cm
CD = (2x-5)
AD = (3y+2)
To find,
Value of x & y
Solution,
DC=AB (Parallel sides of the parallelogram)
2x - 5 = 15
2x = 15 + 5
2x = 20
x = 10
The perimeter of parallelogram = 2 (AD + AB)
46 = 2 (15 + 3y + 2)
46 = 2 (17 +3y)
17 + 3y = 23
3y = 23 - 17
3y = 6
y = 2
Hence the value of x = 10 and y = 2
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