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
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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