Question

a playground is 50yd by 50 yd
amy walked across the playground from one corner to the opposite corner. how far did she walk?
i got : 100 yd is that right

Answer 1

Pythagorean theorem :

c ^ 2 = a ^ 2 + b ^ 2

c = sqrt ( a ^ 2 + b ^ 2 )



c = sqrt ( 50 ^ 2 + 50 ^ 2 ) =

c =sqrt ( 2500 + 2500 )

c = sqrt ( 5000 )

c = sqrt ( 100 * 25 * 2 )

c = sqrt ( 100 ) * sqrt ( 25 ) * sqrt ( 2 ) =

c = 10 * 5 * sqrt ( 2 )

c = 50 sqrt ( 2 ) yd =

c = 50 * 1.41421 = 70.7105 yd

Answer 2

70.7yd