SOLUTION: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the figure. Express the area of the path, A, in square meters, as a function of its wi

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the figure. Express the area of the path, A, in square meters, as a function of its wi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 948985: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the figure. Express the area of the path, A, in square meters, as a function of its width, x, in meters.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Pool area, 20%2A10
Total area, %28x%2B20%29%28x%2B10%29.
JUST the path area, %28x%2B20%29%28x%2B10%29-20%2A10.


Function, A%28x%29=%28x%2B20%29%28x%2B10%29-20%2A10
A%28x%29=x%5E2%2B20x%2B10x%2B20%2A10-20%2A10
highlight%28A%28x%29=x%5E2%2B30x%29