SOLUTION: The area of square-shaped flower garden is 64m^2. It is surrounded by a walk of uniform width. a.) how would you represent the length of one side of the walk? b. )what expre

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The area of square-shaped flower garden is 64m^2. It is surrounded by a walk of uniform width. a.) how would you represent the length of one side of the walk? b. )what expre      Log On


   



Question 626645: The area of square-shaped flower garden is 64m^2. It is surrounded by a walk of uniform width.
a.) how would you represent the length of one side of the walk?
b. )what expression represents the total area of the garden and walk?
c.) if the walk is 15m. What is the area?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The area of square-shaped flower garden is 64m^2. It is surrounded by a walk of uniform width.
a.) how would you represent the length of one side of the walk?
Let w = width of walk
then each side is:
w + 8 + w
or
2w+8
b. )what expression represents the total area of the garden and walk?
(2w+8)(2w+8)
c.) if the walk is 15m. What is the area?
(2w+8)=15
2w = 7
w = 7/2
area then is:
(2w+8)(2w+8)
(2(7/2)+8)(2(7/2)+8)
(7+8)(7+8)
(15)(15)
225 square meters (area of garden and walk)