Question

dakotas rectangular bedroom is 12 feet by 16 feet. what is the diagonal distance from one corner to the opposite corner?
feet

Explanation:

Step1: Recall Pythagorean theorem

For a rectangle with length $l$, width $w$, diagonal $d$: $d^2 = l^2 + w^2$

Step2: Plug in given values

$l=16$, $w=12$, so $d^2 = 16^2 + 12^2$
$d^2 = 256 + 144 = 400$

Step3: Solve for diagonal

$d = \sqrt{400} = 20$

Answer:

20 feet