SOLUTION: Please help me with solving this last home worl problem it is due tomorrow! Thank . Solve using the five-step problem-solving process. Show all steps necessary to arrive at your

Question 302389: Please help me with solving this last home worl problem it is due tomorrow! Thank .
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A rectangular flower bed with width 12 feet and length 15 feet is going to have a walkway of uniform width on all sides. If the area of the walkway is 90 square feet, how wide is the walkway?
you.

Answer by london maths tutor(243) (Show Source): You can put this solution on YOUR website!
Let's the walk way width be x
The width including walk way = 12 + x + x = 12 + 2x
The length including walk way = 15 + x + x = 15 + 2x
Area of the flower bed = 12*15 = 180 ft^2
Area of the flower bed and walk way = (12+2x)*(15+2x)
The difference of the two area is 90 ft^2
Therefore:
[(12+2x)*(15+2x)] - 180 = 90
(180 + 24x + 30x + 4x^2) - 180 = 90
4x^2 + 54x - 90 = 0
2x^2 + 27x - 45 = 0
Using the formular :
where a = 2 , b = 27 and c = -45
x = 1.5 ft or - 15ft(N/A)
Answer: The width of the path way is 1.5ft

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