Question

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

• A. 1 cm, 1 cm
• B. 2 cm, 2 cm
• C. 3 cm, 4 cm
• D. 5 cm, 6 cm

Answer 1

The correct option is B 2 cm, 2 cm



The given figure ABCD, is a Rectangle such that AO = 8 cm and OD = 8 cm

For a rectangle we know that the diagonals bisect each other.

Hence, AO = OC and BO = OD

Now,
OC = 8 cm [$\because AO=OC$]
$\Rightarrow$3x + 2 = 8 cm
$\Rightarrow$3x = 8 cm - 2 cm
$\Rightarrow$3x = 6 cm
$\Rightarrow$x = 2 cm

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