SOLUTION: a rectangular rose garden measures 24 meters in length and 10 meters in width and a diagonal path through the garden divides it into two equal sections, what is the length of the p

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Question 296980: a rectangular rose garden measures 24 meters in length and 10 meters in width and a diagonal path through the garden divides it into two equal sections, what is the length of the path?
Found 3 solutions by rfer, JBarnum, rpark91:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
24^2+10^2=c^2
576+100=676
sq rt 676=26 meters

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
a=10 b=24 find c
100+576=c^2
676=c^2
26=c
26 meters long

Answer by rpark91(10) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem, you would have to use Pythagorean Theorem which states c%5E2=a%5E2%2Bb%5E2
a and b would be one of the sides either 24 or 10 (you choose). c would be the path or hypotenuse.
1. Plug in 24 and 10 for a and b.

c%5E2=24%5E2%2B10%5E2

2. Simplify

c%5E2=576%2B100 = c%5E2=676

3. Get rid of the square sign on sign by square rooting the other side.

c=sqrt%28676%29

4. Simplify the sqrt%28676%29
c=26
That is the length of the path! 26 meters.