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Shaded Area in Geometric Figure puzzles

Shaded Area in a Square puzzle example question

In a unit square ABCD, point A is joined to the midpoint of BC, point B is joined to the midpoint of CD, point C is joined to the midpoint of DA, and point D is joined to the midpoint of AB. Find the area of the shaded region.

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Square puzzle example problem

In a unit square ABCD, M is a midpoint of AD, and AC is a diagonal. Find the area of the shaded regions.

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Square puzzle example

In the unit square ABCD, M is the midpoint and AC and BD are diagonals. Find the area of the shaded region.

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Square puzzle example question

In the following unit square ABCD, M is the midpoint and BD is a diagonal. Find the area of the shaded region.

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Square puzzle TRIGONOMETRY example problem

A square with side 1 is rotated around one vertex by an angle  , where

and

 .

Find the area of the shaded region.

 

 

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Rectangle puzzle example

In the following rectangle, an isosceles triangle is drawn. Find the area of the shaded region.

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 

 

Shaded Area in a Rectangle puzzle example question

In the following rectangle below, find the area of the shaded region.

 

 

 

 

 

 

 

 

 

 

Solution to this Puzzle practice problem is given in the video below!



 




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