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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-> 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 302141: 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 ankor@dixie-net.com(22740) (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 x = the width of the walkway
then the overall dimensions, which include the walkway:
(2x+12) by (2x+15
:
The equation
total area - flower bed area = walkway area
(2x+12)(2x+15) - (12*15) = 90
FOIL
4x^2 + 30x + 24x + 180 - 180 - 90 = 0
A quadratic equation
4x^2 + 54x - 90 = 0
Simplify, divide by 2
2x^2 + 27x - 45 = 0
Factors to
(2x - 3)(x + 15) = 0
The positive solution is what we want here
2x = 3
x =
x = 1.5 ft is the width the walkway
:
:
Check this
(15+3)*(12+3) - (12*15) =
(18*15) - 180 =
270 - 180 = 90
:
Walkway width 1.5 ft around the flower bed has an area of 90 sq/ft
