SOLUTION: A rectangualr swimming pool measure 10m by 4m is surrounded by a deck of uniform width. The total area of the pool and eck is 135m2. What is the width of the deck?

Question 249027: A rectangualr swimming pool measure 10m by 4m is surrounded by a deck of uniform width. The total area of the pool and eck is 135m2. What is the width of the deck?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangular swimming pool measure 10m by 4m is surrounded by a deck of uniform width.
The total area of the pool and deck is 135m2. What is the width of the deck?
;
Let x = the width of the deck
:
If the decks surrounds the pool it adds 2x to the dimension of the pool
:
The area of both pool & deck
(2x+10)(2x+4) = 135
FOIL
4x^2 + 8x + 20x + 40 - 135 = 0
4x^2 + 28x - 95 = 0
Factor
(2x+19)(2x-5) = 0
Positive solution
2x = 5
x = 2.5 m is the width of the deck
:
:
Check the area:
(10+5)*(4+5) = 135
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