Question:
There is a square field with each side 500 metres long. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 metres, what is the maximum area in square metres that can be cordoned off?
There is a square field with each side 500 metres long. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 metres, what is the maximum area in square metres that can be cordoned off?
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When calculating maximum areas in geometry problems, use the right triangle properties and apply the formula for the area of a triangle.
Updated On: Aug 5, 2025
- 2,500
- 10,000
- 5,000
- 20,000
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The Correct Option is C
Solution and Explanation
The maximum area can be found by calculating the area of the triangle that is formed with the 100 metre fence, considering it forms a right triangle. Using the Pythagorean theorem and maximum area principles, the area is 5000 square metres.
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