Question

janet is replacing a door that measures 84 inches by 35 inches. what is the distance between opposite corners of the door?
inches

Explanation:

Step1: Apply Pythagorean theorem

The distance between opposite corners of a rectangle (door) is the diagonal, calculated using $c = \sqrt{a^2 + b^2}$, where $a=84$ inches and $b=35$ inches.

Step2: Calculate squared side lengths

$84^2 = 7056$, $35^2 = 1225$

Step3: Sum the squared values

$7056 + 1225 = 8281$

Step4: Find square root of the sum

$\sqrt{8281} = 91$

Answer:

91 inches