A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally
from one end zone to the opposite end zone, how far would she run to the nearest foot? Enter only the number.
2 answers:
Answer:
340 feet
Step-by-step explanation:
we use Pythagora
d² = l² + w²
d = √300ft)² + 160ft)²
= √90000ft² + 25600ft²
= √115600ft²
= √(2⁴ₓ5²ₓ17²)ft²
= √(2²ₓ5ₓ17)ftₓ(2²ₓ5ₓ17)ft
= √340ftₓ340ft
= 340 feet
Answer: 340
Explanation:
In order to find the length of the diagonal of a rectangle you need to cut the rectangle in diagonal then you have 2 right triangle:
We can take one right triangle to work with:
We can use Pythagorean’s theorem to find the hypotenuse of the right triangle (also the diagonal of the rectangle):
a^2 + b^2 = c^2
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
Sqrt 115600 = c
340 = c
Where c is the hypotenuse of the right triangle and also the diagonal of the rectangle
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