SOLUTION: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft2, what is the width of the path?
Algebra.Com
Question 45004This question is from textbook
: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft2, what is the width of the path?
This question is from textbook
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
Let "w" represent the width of the path. After the path has been layed, the new dimensions of the garden area are:
(we must subtract 2w because there is a path at both ends of the lawn),
Now the area is
This area is equal to 400 sq ft:
Now use the quadratic solver
where
a = 1
b = -25
c = 50
To give:
so w=2.191 or w=22.808.
22.808 ft seems ridiculously wide for a garden path, so the answer must be w=2.191ft.
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
Adam
RELATED QUESTIONS
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set... (answered by checkley71)
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set... (answered by ankor@dixie-net.com)
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set... (answered by ankor@dixie-net.com)
A garden area is 30 ft. long and 20 ft. wide. A path of uniform width is set around the... (answered by checkley75)
A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the... (answered by ankor@dixie-net.com)
A garden area is 30 ft long and 20 ft wide. A path of uniform width
is set around the... (answered by cathieb1225)
A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the... (answered by ankor@dixie-net.com)
A garden area is 30 ft long and 20 ft wide. A path of uniform width
is set around the... (answered by ptaylor)
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set... (answered by ankor@dixie-net.com)