Question

Given below is a parallelogram ABCD. The values of x and y are and respectively.

• A. 1 cm
• B. 2 cm
• C. 3 cm
• D. 4 cm

Answer 1

Answer: (B), (D)

4 cm

For a parallelogram, we know that the diagonals bisects each other.

Hence, AO = OC and BO = OD

Now,
OC = 10 cm [$\because AO=OC$]
$\Rightarrow$2y + 2 = 10 cm
$\Rightarrow$2y = 10 cm - 2 cm
$\Rightarrow$2y = 8 cm
$\Rightarrow$y = 4 cm

And
OD = 12 cm [$\because OD=BO$]
$\Rightarrow$4x + 4 = 12 cm
$\Rightarrow$4x = 12 - 4 cm
$\Rightarrow$4x = 8 cm
$\Rightarrow$x = 2 cm