algebra please help me. thank you i would appreciate it.

+2 votes
you have a pool that measures 8 yards by 10 yards. you want to build a deck around all four sides of the pool and you want to increase the total area to 120 square yards. te deck is the same width on both sides forming a perfect rectangle. what is the width of the deck?
asked Jan 8, 2012 in Algebra by Jordant94 (39 points)
    

1 Answer

+1 vote
You might want to draw a picture to better visualize this, but you should come up with the equations.

length = 10 + 2x
width = 8 + 2x

You are trying to get the Area to equal to 120 sq yd.

You know area= length * width so substitute your equations and get:

120 = (10 + 2x)(8 + 2x)

now simplify:

120 = 80 + 36x + 4x^2
0 = 4x^2 + 36x - 40
0 = 4(x^2 + 9x - 10)

get to quadratic form:

0 = x^2 + 9x - 10
0 = (x + 10)(x - 1)

you get x=-10, and 1,  obviously you cant have a negative answer, so x=1yard is the correct answer.
answered Jan 9, 2012 by Roar3215 ~Expert~ (1,318 points)

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