Question

Given below is a parallelogram ABCD. Find the value of x and y.

• A. 2 cm, 4 cm
• B. 4 cm, 6 cm
• C. 1 cm, 2 cm
• D. 3 cm, 4 cm

Answer 1

The correct option is A 2 cm, 4 cm


The given figure ABCD, is a parallelogram such that AO = 10 cm and BO = 12 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