SOLUTION: 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

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Question 302140: 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
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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
let the width of the walkway be x feet
flowerbed length = 15 feet
flower bed width = 12 feet
length of plot with walkway = 15+2x
width of plot with walkway = 12+2x
Area of plot - area of flower bed = area of walkaway
(12+2x)(15+2x)- 12*15 = 90
180+24x+30x+4x^2-180=90
4x^2+54x-90=0
4x^2+60x-6x+90=0
4x(x+15)-6(x+15)=0
(x+15)(4x-6)=0
x=-15 OR x=3/2
So the width of the walkaway = 1.5 feet
Ananth