SOLUTION: A rectangulaer field is 200m by 300m. A roadway of width x m is to be built just inside the feild. What is the widest the roadway can be and still leave 50,000m^2 in the region.

Question 103619: A rectangulaer field is 200m by 300m. A roadway of width x m is to be built just inside the feild. What is the widest the roadway can be and still leave 50,000m^2 in the region.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The rectangular field is 200x300 or 60,000 sq.m. currently.
You want to leave 50,000 sq. m and the area of the road would take up the rest.
Area of old field = Area of new field + Area of the road
60,000 = 50,000 + Area of road
We know the width of the road, x, but which dimension is the length of the road?
Is it 200m or is it 300m.
We'll solve for both.
For the length of the road = 200m.
Area of road = 200*x

For the length of the road = 300m.
Area of road = 300*x

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