Answer:
8 feet 4 inches
Step-by-step explanation:
A rectangular door measures 5 feet by 6 feet 8 inches, then
Width = 5 feet = 60 inches
Length = 6 feet 8 inches = 80 inches
Use the Pythagorean theorem to find the length of the diagonal:
[tex]\text{Diagonale}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonale}^2=60^2+80^2\\ \\\text{Diagonale}^2=3,600+6,400\\ \\\text{Diagonale}^2=10,000\\ \\\text{Diagonale}=100\ inches[/tex]
So, the distance from one corner of the door to the diagonally opposite corner is 100 inches or 8 feet 4 inches.
