SOLUTION: I need help with this math problem. Write and simplify the rational expression that represents the probability of randomly hitting the unshaded region of the rectangle. Since i c

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with this math problem. Write and simplify the rational expression that represents the probability of randomly hitting the unshaded region of the rectangle. Since i c      Log On


   

Question 307928: I need help with this math problem.
Write and simplify the rational expression that represents the probability of randomly hitting the unshaded region of the rectangle.
Since i can not draw it the dimensions are outside the rectangle L=2x+5 and W= x+5 inside the rectangle there is a small shaded rectangle with L= x+5 and W= x+3.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of hitting the inside rectangle is equal to the area of the inside rectangle over the area of the outer rectangle.
The area of a rectangle is
A=LW
The area of the inner triangle is
Ai=%28x%2B5%29%28x%2B3%29
The area of the outer triangle is
Ao=%282x%2B5%29%28x%2B3%29
.
.
.
P=Ai%2FAo=%28%28x%2B5%29%28x%2B3%29%29%2F%28%282x%2B5%29%28x%2B3%29%29
P=%28%28x%2B5%29cross%28x%2B3%29%29%2F%28%282x%2B5%29cross%28x%2B3%29%29
P=%28x%2B5%29%2F%282x%2B5%29