SOLUTION: Please help me with the following problem. A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cos

Algebra ->  Angles -> SOLUTION: Please help me with the following problem. A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cos      Log On


   

Question 186421: Please help me with the following problem. A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cost?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You an use the Pythagorean theorem to solve this problem by first finding the length of the diagonal (hypotenuse) of the right triangle formed by two adjacent sides (legs) of the rectangular garden.
c%5E2+=+a%5E2%2Bb%5E2 where c = the hypotenuse (diagonal), a = 9 meters and b = 12 meters.
c%5E2+=+9%5E2%2B12%5E2
c%5E2+=+81%2B144
c%5E2+=+225 Take the square root of both sides.
c+=+15
So the length of the diagonal walk is 15 meters and the cost (C), at $10 per linear meter will be:
C+=+15%2A10
C+=+150
The walk will cost $150.00