Question

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.

Answer 1

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 2

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