SOLUTION: Find the area and perimeter of a square plot of land, the length of whose diagonal is 10 m.

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Question 810711: Find the area and perimeter of a square plot of land, the length of whose diagonal is 10 m.
Answer by Charles3475(23) About Me  (Show Source):
You can put this solution on YOUR website!
We have a square with a diagonal of 10 m.
The length of a side of the square is "s"
The Pythagorean theorem tells us that s%5E2%2Bs%5E2=10%5E2=100
Therefore, 2%2As%5E2=100; s%5E2=50; s=sqrt%2850%29
Knowing the side we can figure the area as s%5E2=%28sqrt%2850%29%29%5E2=50
We can also determine the perimeter as the sum of the length of the four sides:
Perimeter P=4%2As=4%2Asqrt%2850%29=4%2Asqrt%282%2A25%29=4%2A5%2Asqrt%282%29=20%2Asqrt%282%29