SOLUTION: The area of a rectangular park is given by the equation x^2 + 25x + 150 as measured in square yards. You want to walk the length of the park. How far will you walk if x = 12? (A

Algebra ->  Surface-area -> SOLUTION: The area of a rectangular park is given by the equation x^2 + 25x + 150 as measured in square yards. You want to walk the length of the park. How far will you walk if x = 12? (A      Log On


   



Question 209554: The area of a rectangular park is given by the equation x^2 + 25x + 150 as measured in square yards. You want to walk the length of the park. How far will you walk if x = 12?
(A)22 yards
(B)600 yards
(C)27 yards
(D)900 yards

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since the area of a rectangle is gien by:
A+=+L%2AW then you can write:
L%2AW+=+x%5E2%2B25x%2B150 where L = length of the park (usually the longest side) and W = the width of the park.
So let's factor the quadratic trinomial:
x%5E2%2B25x%2B150+=+%28x%2B15%29%28x%2B10%29 so we can say that:
L%2AW+=+%28x%2B15%29%28x%2B10%29 and so...
L+=+x%2B15 and, if x = 12, then:
L+=+12%2B15
highlight%28L+=+27%29yards.