Question
A rectangular swimming pool is 10m wide and 15m long. The pool is surrounded by a deck of uniform width, whose area is equal to the area of the pool. How wide is the deck?
Answers
oobleck
So the pool plus the deck is twice the area of the pool ...
(10+2w)(15+2w) = 2(10*15)
(10+2w)(15+2w) = 2(10*15)
R_scott
(10 + 2 w) (15 + 2w) = 2 * 10 * 15
150 + 50 w + 4 w^2 = 300
2 w^2 + 25 w - 75 = 0
(2 w - 5) (w + 15) = 0
2 w - 5 = 0
w + 15 = 0
150 + 50 w + 4 w^2 = 300
2 w^2 + 25 w - 75 = 0
(2 w - 5) (w + 15) = 0
2 w - 5 = 0
w + 15 = 0
Jah'vaiyah
1500 sq cm