SOLUTION: Word Problem Two -A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width. The area of the sidewalk is 68 square meters. Find
Algebra.Com
Question 230898: Word Problem Two -A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width. The area of the sidewalk is 68 square meters. Find the width of the walk.. (Show a complete algebraic solution for the problem and check the answer.)
I DREW A PICTURE THEN WAS LOST….
He said that you can possibly use quadratic equation but don’t have to..
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the width of the walk =
Then the area of the plot plus
the walk is:
The area of the plot is given as:
m2
The area of the walk is given as m2
Thus, the area of the plot plus walk is
, so
I can solve by completing the square
Take square root of both sides
m
The walk is 1 meter wide
check:
OK
RELATED QUESTIONS
A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk (answered by Paul)
A rectangle plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk... (answered by mananth)
A rectangular pot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk... (answered by mananth)
a rectangular pool measuring 10 meters by 20 meters is surrounded by a path of uniform... (answered by josgarithmetic)
A pool measuring
20 meters by
28 meters is surrounded by a path of uniform... (answered by ikleyn)
A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as... (answered by josgarithmetic)
A rectangular garden plot is surrounded by 20 meters of fence. Find the length and the... (answered by josgarithmetic)
A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the (answered by khwang)
A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. if the... (answered by Earlsdon)