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ICSE Class 9 Answered

Parallelogram with sides ABCD.given that AB =3x,AD=2x,DC=2y+2 and perimeter =40 find the value of x and y
Asked by ayanasanthosh52 | 07 Jan, 2020, 07:45: PM
answered-by-expert Expert Answer
Opposite sides of a parallelogram are equal.
 
AD = BC
2x = 2y + 2
x - y = 1 ... (i)

Perimeter of a quadrilateral ABCD = AB + BC + CD + AD
→ 40 = 3x + 2y + 2 + 3x + 2x           ....(AB = CD)
→ 40 = 8x + 2y + 2
→ 4x + y = 19  ... (ii)

Adding (i) and (ii), we get

5x = 20 → x = 4

4 - y = 1  ... from (i)

→ y = 3
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