SOLUTION: A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures 6metrs by 10meters, and the total area of the pool and walk is 96sq. meters, what is the wi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures 6metrs by 10meters, and the total area of the pool and walk is 96sq. meters, what is the wi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 119950: A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures 6metrs by 10meters, and the total area of the pool and walk is 96sq. meters, what is the width of the walk?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the walk is the area of walk+pool minus area of pool
A%5Bw%5D+=+96+-+%286%2A10%29
A%5Bw%5D+=+36
Call the width of the walk x. Going around the pool and adding
up the areas, I have
A%5Bw%5D+=+x%5E2+%2B+6x+%2B+x%5E2+%2B+10x+%2B+x%5E2+%2B+6x+%2B+x%5E2+%2B+10x
36+=+4x%5E2+%2B+12x+%2B+20x
36+=+4x%5E2+%2B+32x
4x%5E2+%2B+32x+-+36+=+0
x%5E2+%2B+8x+-+9+=+0
%28x+%2B+9%29%28x+-+1%29+=+0
Either x+=+-9 or x+=+1 The negative answer is not possible, so,
The width of the walk is 1 meter answer
check answer:
36+=+4x%5E2+%2B+12x+%2B+20x
36+=+4%2A1%5E2+%2B+12%2A1+%2B+20%2A1
36+=+4+%2B+32
36+=+36
OK