Question

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?

A. 84² – 56² = c²
B. (84 + 56)² = c²
C. 84² + b² = 56²
D. 84² + 56² = c²

Answer 1

The diagonal is approximate is 101 feet

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