Question

A playing field is rectangular with a length of 100 yards and a width of 53 ​yards, 1 foot. If a player runs diagonally across this​ rectangle, how far will he​ run? [Hint: Use units of feet to perform your​ calculations.]

How far has the player​ run?

Answer 1

First convert yards to feet.

1 yard = 3 feet.

100 x 3 = 300 feet long.

53 x 3 = 159 + 1 = 160 feet wide.

Now use the Pythagorean theorem to find the diagonal.

x^2 = 300^3 + 160^2

x^2 = 90000 + 25600

x^2 = 115600

x = √115600

x = 340 feet