SOLUTION: Find the perimeter of a square QRST if two of the adjacent vertices are Q(6,7) and R(-3,4). Round your final answer to the nearest tenth.

Algebra ->  Polygons -> SOLUTION: Find the perimeter of a square QRST if two of the adjacent vertices are Q(6,7) and R(-3,4). Round your final answer to the nearest tenth.      Log On


   

Question 120221: Find the perimeter of a square QRST if two of the adjacent vertices are Q(6,7) and R(-3,4). Round your final answer to the nearest tenth.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between two adjacent vertices of a square gives the length of a side, s. The perimeter is then given by 4s.

To find the distance between two points (x%5B1%5D,y%5B1%5D) and (x%5B2%5D,y%5B2%5D), use the distance formula:

s=d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

s=sqrt%28%286-%28-3%29%29%5E2%2B%287-4%29%5E2%29

s=sqrt%289%5E2%2B3%5E2%29

s=sqrt%2881%2B9%29=sqrt%28100%29=10

The perimeter is then 4%2A10=40, however, you were instructed to express your answer to the nearest tenth, therefore you should write 40.0 as your answer.

Hope this helps,
John