Question

If PQRS is a rectangle, then the length of each diagonal is:

• A. 144 cm
• B. 63 cm
• C. 122 cm
• D. 120 cm

Answer 1

The correct option is C 122 cm


The diagonals of a rectangle are equal and bisect each other.
$\therefore SO=QOi.e.7x-2=5x+16\Rightarrow 2x=18\Rightarrow x=9\therefore 7x-2=7\times 9-2=63-2=61cm$
The length of the diagonal SQ = $2\times 61$
= 122 cm

$\therefore$The length of the diagonals SQ and PR =122 cm [diagonals are equal in rectangle]