SOLUTION: Your boss Carla asked you to order fence materials for the new pool she just installed. The pool area is shaped like a right triangle with longest edge (hypotenuse) of 25 feet and

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Your boss Carla asked you to order fence materials for the new pool she just installed. The pool area is shaped like a right triangle with longest edge (hypotenuse) of 25 feet and       Log On


   

Question 1096593: Your boss Carla asked you to order fence materials for the new pool she just installed. The pool area is shaped like a right triangle with longest edge (hypotenuse) of 25 feet and with one leg 5 feet longer than the other. How many feet of fence should you order? (Round up to the nearest foot.)
Answer by ikleyn(52763) About Me  (Show Source):
You can put this solution on YOUR website!
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If you are a novice in this kind of problems, you can solve it using the Pythagorean theorem


x%5E2+%2B+%28x%2B5%29%5E2 = 25%5E2,


x^2 + x^2 + 10x + 25 = 625,

2x^2 + 10x = 600,

2x^2 + 10x = 600,

x^2 + 5x - 300 = 0,

(x+20)*(x-15) = 0  ====>  x = 15  is your shorter leg  and x = 15+5 = 20  is your longer leg.


Then your perimeter is  15 + 20 + 25 = 60 feet.



Or, if you are not a novice and just know about a right angled (3-4-5)-triangle, then you will get the answer instantly without any equations.