The maximum and minimum areas that the triangle AEF can have.
ABCD is a square piece of paper with sides of length 1m. A quarter circle is drawn from B to D with center A. The piece of paper is folded along the EF, with E on AB and F on AD so that A falls on the quarter circle.
Here according to the given information we draw the diagram.
Now E can be anywhere on AB and F can be anywhere on AD. Now Area of the triangle AEF is,
Now the area of the triangle will be maximum if E is very close to B and F is very close to D.
Also the area of the triangle will be minimum if E is very close to A and F is very close to A.
Therefore maximum area of the triangle is,
Now the minimum area of the triangle is,
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