Question 1154697
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Clearly the area of the square is 5^2 = 25.<br>
Since the two congruent parallelograms together with the square make a figure that looks like a cube, the angles of each parallelogram are 45 and 135 degrees.<br>
Then, since the side lengths of the parallelogram are 5, the height of each parallelogram is 5/sqrt(2), or (5/2)sqrt(2).<br>
The area of each parallelogram (base times height) is then 5*((5/2)sqrt(2)).<br>
And then the area of the whole figure -- square plus two parallelograms -- is 25+25sqrt(2).<br>