Question

If PQRS is a rectangle, then the length of each diagonal is___. [3 Mark]

Answer 1

The diagonals of a rectangle are equal and bisect each other.
$\therefore SO=QOi.e.7x-2=5x+16\Rightarrow 2x=18\Rightarrow x=9\left[1Mark\right]\therefore 7x-2=7\times 9-2=63-2=61cm$ [1 Mark]

The length of the diagonal SQ = $2\times 61cm=122cm$
$\therefore$ The length of the diagonals SQ and PR is 122 cm.
[diagonals of a rectangle are equal in length] [1 Mark]