114k views
2 votes
an area rug has a length of 8 feet in the width of 5 feet. What is the diagonal distance across the rug?

User Urish
by
7.1k points

1 Answer

3 votes

We can use the Pythagorean theorem to find the diagonal distance across the rug. According to the theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side (the hypotenuse).

In this case, the length and width of the rug form the two shorter sides of a right triangle, and the diagonal distance is the hypotenuse. So we can use the formula:

diagonal^2 = length^2 + width^2

Plugging in the values given in the problem, we get:

diagonal^2 = 8^2 + 5^2

diagonal^2 = 64 + 25

diagonal^2 = 89

To solve for the diagonal, we take the square root of both sides:

diagonal = sqrt(89)

Using a calculator, we get:

diagonal ≈ 9.43 feet

Therefore, the diagonal distance across the rug is approximately 9.43 feet.

User Veltzer Doron
by
7.7k points