SOLUTION: The length of a playground is 40 yards and the width of the playground is 30 yards. Tanya is going to run around the sides of the playground to get to the opposite corner. Maria is

Algebra ->  Pythagorean-theorem -> SOLUTION: The length of a playground is 40 yards and the width of the playground is 30 yards. Tanya is going to run around the sides of the playground to get to the opposite corner. Maria is      Log On


   

Question 1160349: The length of a playground is 40 yards and the width of the playground is 30 yards. Tanya is going to run around the sides of the playground to get to the opposite corner. Maria is going to run across the diagonal of the playground. Who will run further? Explain?
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a playground is 40 yards and the width of the playground is 30 yards. Tanya is going to run around the sides of the playground to get to the opposite corner. Maria is going to run across the diagonal of the playground. Who will run further? Explain?
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Find the length of the diagonal (Pythagorean Theorem)
Add the lengths of 2 sides
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Which is greater?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Tanya will run 40+30 =70 yards
Maria will run on the diagonal
x^2+y^2=c^2
1600+900=2500=diagonal in yards^2
sqrt of that is 50 yards.
Tanya will run both legs, whereas Maria will take the diagonal, which is always shorter than the sum of the two legs.