Question

$ABCD$ is a parallelogram as shown in the figure.The value of x is.

• A. 6
• B. 3
• C. 5
• D. 4

Answer 1

Answer: (B)

3
We know that the diagonals of parallelograms bisect each other. This means that the point bisects diagonal AC two equivalent segments. Thus, we know that CO and OA are congruent, so we have

Given OC = $4x^2+5$ and OA = 41
$\Rightarrow$ 4$x^2$+5 = 41
$\Rightarrow$ $x^2$ = 9
$\therefore$x=3