a rectangular parking lot has a length of 84 feet and a width of 56 feet which of the following could be used to find the diagonal distance across the parking lot?

Answer :

Hey there!

If we take the length, width, and diagonal, we have a right triangle, we can use the Pythagorean Theorem to find the diagonal.

84^2+56^2=10192

√10192≈101 feet

I hope this helps!

Answer:

The diagonal is approximate is 101 feet

Step-by-step explanation:

Since the parking lot is rectangular, dividing it diagonally makes it two right angle triangles.

l = 84 ft and w = 56 ft

the diagonal becomes the hypothenus of the right angle triangle

so length and width are opposite and adjacent

Then we can now use pythagoras theorem, we will have

l² + w² = d²

84² + 56² = d²

7056 + 3136 = d²

10192 = d²

d² = 10192

d = √10192

d = 100.955

d ≈ 101 ft

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