SOLUTION: Mr. Blitzer has a planted a vegtable garden filled with chili pepper plants. He dug the garden bed long and narrow to measure 3 feet by 10 feet, so that he could tend more easily t

Question 360614: Mr. Blitzer has a planted a vegtable garden filled with chili pepper plants. He dug the garden bed long and narrow to measure 3 feet by 10 feet, so that he could tend more easily to his plants. He would like to build a brick patio of equal width surrounding the garden. The area that the bricks cover is 100 square feet. How wide should the patio measure?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width of garden = 3
length = 10
area = 30 ft^2
..
let the patio width be p
total width will be 3+2p
total length = 10+2p
..
Area of patio = 100 ft^2
...
Total area = (10+2p)(3+2p)
(10+2p)(3+2p)- 30 = 100
30+26p+4p^2-30=100
4p^2+26p-100=0
/2
2p^2+13p-50=0use quadratic formula
discriminant = 569
p1=(-13+sqrt(562))/4
p1= 2.71 feet the width of patio
...
p2= -9.2 negative so ignore
....
m.ananth@hotmail.ca

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