SOLUTION: I looked at the solution for question #193175: A diagonal walk through a rectangular rose garden 18 meters by 24 meters can be built at $12 per linear meter. How much will the wal

Algebra ->  Pythagorean-theorem -> SOLUTION: I looked at the solution for question #193175: A diagonal walk through a rectangular rose garden 18 meters by 24 meters can be built at $12 per linear meter. How much will the wal      Log On


   

Question 193186: I looked at the solution for question #193175:
A diagonal walk through a rectangular rose garden 18 meters by 24 meters can be built at $12 per linear meter. How much will the walk cost?
But I was unable to figure out what ankor was talking about. I am not as versed in using a calculator as some are and did not understand. Can someone help please.

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I looked at the solution for question #193175:
A diagonal walk through a rectangular rose garden 18 meters by 24 meters can be built at $12 per linear meter. How much will the walk cost?
But I was unable to figure out what ankor was talking about. I am not as versed in using a calculator as some are and did not understand. Can someone help please.
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Find d, the length of the diagonal. The sides are 18 m and 24 m.
d^2 = 18^2 + 24^2 (Pythagoras' Theorem)
d^2 = 324 + 576 = 900
d = 30 meters
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30 m times $12/meter = $360

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, we need to find the length of diagonal:



If we cut the garden in half along the diagonal, we'll have this triangle set up (where "x" is the length of the diagonal):





Remember, the Pythagorean Theorem is a%5E2%2Bb%5E2=c%5E2 where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.


Since the legs are 18 and 24 this means that a=18 and b=24


Also, since the hypotenuse is x, this means that c=x.


a%5E2%2Bb%5E2=c%5E2 Start with the Pythagorean theorem.


18%5E2%2B24%5E2=x%5E2 Plug in a=18, b=24, c=x


324%2B24%5E2=x%5E2 Square 18 to get 324.


324%2B576=x%5E2 Square 24 to get 576.


900=x%5E2 Combine like terms.


x%5E2=900 Rearrange the equation.


x=sqrt%28900%29 Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).


x=30 Take the square root of 900 to get 30.



So the diagonal is 30 meters long.



Now just multiply the length of the diagonal by the cost per linear meter to get:

30%2A12=360


So it will cost $360 to build the diagonal walkway.