A particular patient's eyes are unable to focus on objects closer than $37\mathrm{.}5$ cm and corrected lenses are to be prescribed so that the patient can focus on objects $20\mathrm{.}5$ cm from their eyes.

HINT

$($a$)$

Is the patient nearsighted or farsighted?

nearsightedfarsighted$$

$($b$)$

If contact lenses are to be prescribed, determine the required lens power $($in diopters$).$

diopters

$($c$)$

If eyeglasses are to be prescribed instead and the distance between the eyes and the lenses is $2\mathrm{.}20$ cm$,$ determine the power $($in diopters$)$ of the required corrective lenses.

diopters