SOLUTION: Polynomial word problems help!
A cement walk of uniform width surrounds a rectangular swimming pool that is 10 m wide and 50 m long. Find the width of the walk it its area is 86
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Question 256203: Polynomial word problems help!
A cement walk of uniform width surrounds a rectangular swimming pool that is 10 m wide and 50 m long. Find the width of the walk it its area is 864 m^2.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
First draw a rectangle and label it 10m on the length and 50m on the width.
Second draw a rectangle around the pool and place an x to the left and right of the 10 and above and below the 50.
step 1 - area of pool.
A = LW = 10*50 = 500
step 2 - area of pool + walkway = 864
(i) A =
(ii) A =
(iii) A =
setting = 0, we get
(iv)
dividing by 4 and then factoring, we get
(vi)
So,
x = 6 or x = -36.
width of the walk is 6m.
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