MathDB
Area of wildfire in the forest park - Iran First Round 2018, P9

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March 7, 2021
area

Problem Statement

A part of a forest park which is located between two roads has caught fire. The fire is spreading at a speed of 1010 kilometers per hour. If the distance between the starting point of the fire and both roads is 1010 kilometers, what is the area of the burned region after two hours in kilometers squared? (Assume that the roads are long, straight parallel lines and the fire does not enter the roads)
<spanclass=′latex−bold′>(A)</span> 2003<spanclass=′latex−bold′>(B)</span> 1003<spanclass=′latex−bold′>(C)</span> 4003+400π3<spanclass=′latex−bold′>(D)</span> 2003+400π3<spanclass=′latex−bold′>(E)</span> 4003<span class='latex-bold'>(A)</span>\ 200\sqrt 3\qquad<span class='latex-bold'>(B)</span>\ 100 \sqrt 3\qquad<span class='latex-bold'>(C)</span>\ 400\sqrt 3 + 400 \frac{\pi}{3} \qquad<span class='latex-bold'>(D)</span>\ 200\sqrt 3 + 400 \frac{\pi}{3} \qquad<span class='latex-bold'>(E)</span>\ 400\sqrt 3
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