SOLUTION: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft. by 40 ft. the total area, garden plus walkway, is to be 1800 ft^2. What

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft. by 40 ft. the total area, garden plus walkway, is to be 1800 ft^2. What       Log On


   



Question 40536: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft. by 40 ft. the total area, garden plus walkway, is to be 1800 ft^2. What must the width of the walkway be to the nearest hundreth?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Preview the constant as: w
Equation:
%282w%29%282w%29+=+600
4w%5E2+=+600
w%5E2+=+150
w+=+sqrt%28150%29
To get:
The dimensions:
40+%2B+2w
40+%2B+2%2Asqrt%28150%29
and ...
30+%2B+2w
30+%2B+2%2Asqrt%28150%29