SOLUTION: Pls. help me solve these problem:
A grassy plot 25m by 30m is surrounded by a walk of uniform width. If the area of the walk is 300sq. m., how wide is it?
Algebra.Com
Question 299705: Pls. help me solve these problem:
A grassy plot 25m by 30m is surrounded by a walk of uniform width. If the area of the walk is 300sq. m., how wide is it?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A grassy plot 25m by 30m is surrounded by a walk of uniform width. If the area of the walk is 300sq. m., how wide is it?
.
"area of grassy plot AND walk" minus "area of grassy plot" equals 300
.
Let x = width of walk
then
(25+2x)(30+2x) - (25)(30) = 300
(25+2x)(30+2x) - (25)(30) = 300
750+50x+60x+4x^2 - 750 = 300
50x+60x+4x^2 = 300
4x^2+110x = 300
4x^2+110x-300 = 0
2x^2+55x-150 = 0
2x^2+60x-5x-150 = 0
(2x^2+60x)-(5x+150) = 0
2x(x+30)-5(x+30) = 0
(2x-5)(x+30) = 0
x = {5/2, -30}
We can throw out the negative answer leaving:
x = 5/2 = 2.5 meters
RELATED QUESTIONS
Please help me solve this equation: a playground is 25m x 40m. it is surrounded by a... (answered by ptaylor)
A rectangular plot of ground having dimensions 25 feet by 38 feet is surrounded by a walk (answered by ankor@dixie-net.com)
A rectangular plot of ground having dimensions 21 ft by 24 ft is surrounded by a walk of... (answered by mananth)
A rectangular plot is 15m long and 10m wide. It is surrounded by a concrete walk of... (answered by josgarithmetic)
A square field with side 30m is surrounded by a path of uniform width.If the area of the... (answered by 303795)
A rectangular swimming pool measures 25m by 6m. It is surrounded by a path of uniform... (answered by nerdybill)
A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk (answered by Paul)
A rectangular pool is surrounded by a cement walk of uniform width. if the pool measures... (answered by josmiceli)
A rectangular flower garden with dimensions 3m by 17 m is surrounded by a walk of... (answered by josgarithmetic)