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
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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..
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
