Question

In a parallelogram ABCD, its diagonals intersect at O. If OA = 8 cm and OB = 9.5 cm, then the sum of lengths of AC and BD will be ______.

• A. $17.5cm$
• B. $35cm$
• C. $19cm$
• D. $45cm$

Answer 1

The correct option is B

$35cm$

Given: ABCD is a parallelogram.

Diagonals of a parallelogram bisect each other.

$\therefore AC=2\times OA,BD=2\times OB$

$\Rightarrow AC=2\times 8=16cm$

$\Rightarrow BD=2\times 9.5=19cm$

$\Rightarrow AC+BD=16+19=35cm$