Question

$ABCD$ is a parallelogram as shown in the figure.The value of x is. [2 Mark]

Answer 1

We know that the diagonals of parallelograms bisect each other. This means that the point O bisects diagonal AC two equivalent segments. Thus, we know that CO and OA are congruent. [1 Mark]
So we have,

Given OC = $4x^2+5$ and OA = 41
$\Rightarrow$ 4$x^2$+5 = 41
$\Rightarrow$ $x^2$ = 9
$\therefore$x=3 [1 Mark]