Question

A rectangular door measures 5 feet by 6 feet 8 inches. What is the distance from one corner of the door to the diagonally opposite comer?

Answer 1

8 feet 4 inches

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:

`\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`

So, the distance from one corner of the door to the diagonally opposite corner is 100 inches or 8 feet 4 inches.