Problema Solution
A 20ft by 40ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 256^2, how wide is the walk way?
Answer provided by our tutors
Let x = width of the walkway
Then the overall dimensions of the pool and the walkway are:
(2x+20) by (2x+40)
Total area - Pool area = Walkway area (given as 256 ft^2)
(2x+20)(2x+40) - (20*40) = 256
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click here to see the equation solved for x
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x = 2 ft is the width of the walkway
We are not taking into consideration that negative solution -32 since the width can only be positive.
The walkway is 2 feet wide.