Answer:
Therefore the lengths of the opposite side pairs, AB and BC are 12 units and 6 units .
Step-by-step explanation:
Given:
[] ABCD is a Parallelogram.
∴ pairs of opposite sides are congruent
∴ AB = DC and
BC = AD
To Find:
Length of AB = ?
Length of BC = ?
Solution:
[] ABCD is a Parallelogram. .............Given
∴ pairs of opposite sides are congruent
∴ AB = DC and BC = AD
On substituting the values we get
For 'x' i.e AB = DC
[tex]4x=x+9\\\\4x-x=9\\\\3x=9\\\\x=\frac{9}{3}\\ \\x=3[/tex]
For 'y' i.e BC = AD
[tex]2y=6\\\\y=\frac{6}{2} \\\\y=3\\[/tex]
Now substituting 'x' and 'y' in AB and BC we get,
[tex]Length\ AB=4\times 3 =12\ units\\\\Length\ BC=2\times 3 =6\ units[/tex]
Therefore the lengths of the opposite side pairs, AB and BC are 12 units and 6 units .
C) 12, 6
Set opposite sides equal to each other and solve for x or y.
AB = DC → 4x = x + 9 → 3x = 9 → x = 3
So, AB = DC = 12
And,
AD = BC → 6 = 2y → y = 3
So, AD = BC = 6
