SOLUTION: A 60 foot by 80 foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk? S

Question 381299: A 60 foot by 80 foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk? Set up a quadratic equation, factor, and solve.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
width of walk = 60 feet
length = 80 feet
..
Area = 4800 ft^2
..
uniform width w
..
GARDEN dimensions
width = 60-2w
length = 80-2w
...
Area of garden = (60-2w)(80-2w)
FOIL
Area = 4800-120w-160w+4w^2
Area = 4w^2-280w+4800
..
Total area / area of garden = 2
4800 / 4w^2-280w+4800 = 2
4800/2 = 4w^2-280w+4800
2400 =4w^2-280w+4800
4w^2-280w+4800-2400=0
4w^2-280w+2400=0
/4
w^2-70w+600=0
w^2-60w-10w+600=0
w(w-60)-10(w-60)=0
(w-60)(w-10)=0
w= 60 OR 10
ignore 60
..
width = 10 feet
...
m.ananth@hotmail.ca
RELATED QUESTIONS
A 60 by 80-foot rectangular walk in a park is surrounds a flower bed. If the walk is of... (answered by ankor@dixie-net.com)

A rectangular flower bed 30 yards long by 20 yards wide has a walk of uniform width... (answered by nerdybill)

A rectangular flower bed 30 yards long by 24 yards wide has a walk of uniform width... (answered by solver91311)

Rectangular flower bed 30 yards long by 24 yards wide has a walk of uniform width around... (answered by ikleyn,ankor@dixie-net.com)

A cement walk of uniform width is built around a 20 foot by 40 foot rectangular pool and... (answered by dabanfield)

Monica planted a rectangular flower bed in the center of her 49-foot by 29-foot front... (answered by josgarithmetic)

A rectangular flower garden with dimensions 3m by 17 m is surrounded by a walk of... (answered by josgarithmetic)

A circular flower bed is boarded by a 3-foot walk. The area of the walk is 7/9 of the... (answered by KMST)

A cement walk of uniform width surrounds a rectangular pool that is 10 m wide and 50 m... (answered by josgarithmetic)