Question 1172033
A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution,
find the width of the concrete deck.
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Area of pool = 100*200 = 20000 sq meters ---- A big pool
w = width
Area of deck + pool = (100+2w)*(200+2w) = 30000
(50+w)*(100+w) = 7500
w^2 + 150w + 5000 = 7500
w^2 + 150w - 2500 = 0
Solve for w, ignore any negative solutions