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 diagon
al distance across the parking lot?
2 answers:
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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