A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?  Select
A) 2 feet B) 2.5 feet C) 3 feet D) 4 feet E) 5 feet
Assume the width of the deck = x   Area of pool and deck = (20 + 2x)*(28 + 2x) =884 {The deck is present at both ends of the length and the breadth, hence we need to add 2x}   (20 + 2x)*(28 + 2x) =884 can be written as   (10 + x)*(14 + x) = 221   140 + 24x + x^2 = 221   x^2 + 24x - 81 = 0   (x + 27)(x - 3) = 0   Hence x = -27 or 3. But a length cannot be negative   Hence width of the deck = x = 3   3 feetorrect option: 3 feet
<result>C</result>
A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?