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A rectangular field is 300 yards by 500 yards. A roadway of width x yards is...

A rectangular field is 300 yards by 500 yards. A roadway of width x yards is to be built inside the field. This problem concerns the region inside the roadway.
a. Write the length and width of the region in terms of a variable.

b. Write an equation to represent the area of the region inside the roadway.
c. Predict the area of the region if the roadway is 5 yards wide, 10 yards wide, and 15 yards wide.
d. What is the widest the roadway can be and still leave 100,000 square yards in the region?
e. Find the value of x which makes the roadway have an area equal to the area of the field.

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