Question

If PQRS is a rectangle, then the length of each diagonal is______ cm.

• A. 122

Answer 1

The correct option is A 122

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 x SO
= 2 x ($7x-2$)
= $2\times 61$
= 122 cm

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