Question 1173312
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The solution from the other tutor is of no use.<br>
He "thinks" that is the answer; and then his calculations are not correct.<br>
MY thought is that the problem can't be answered unless the radius of the circle is known.<br>
If the radius of the circle is equal to {{{100/(2pi)}}}, or about 15.9, then the 100m of fencing will enclose a complete circle.<br>
If the radius of the circle is 50m, then the 100m of fencing will just reach across the circle, and the fence will be a straight line along the existing wall, making the area of the enclosure zero.<br>
A radius somewhere between those two extremes of 15.9m and 50m will produce an enclosure of maximum area, with part of the boundary along the existing wall.<br>
Perhaps the intent of the problem is in fact to determine the radius that produces the maximum area of the enclosure; but that seems to be a problem that can't be solved by any method I know.<br>