The greatest area the contractor can fence off using 500m of fencing is a square with sides measuring 125m each.
To fence off a rectangular field along the river, the contractor will need to fence 3 sides of the field. This will consist of 2 sides measuring 125m each and 1 side measuring 250m. Therefore, the total fencing required will be 500m.
The area of a square with sides measuring 125m each is calculated as:
Area = side × side
Area = 125m × 125m
Area = 15625 m^2
Therefore, the greatest area the contractor can fence off is 15625 m^2.
A contractor is to fence off a rectangular field along a straight river, the side along the river requiring no fence. What is the greatest area the contractor can fence off using 500m of fencing?
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