SOLUTION: The midpoint of all sides of the square is all joined together to create another square inside it (see figure below). If the area of the smaller square is given as 100 m2, find the

Algebra ->  Formulas -> SOLUTION: The midpoint of all sides of the square is all joined together to create another square inside it (see figure below). If the area of the smaller square is given as 100 m2, find the      Log On


   



Question 1192226: The midpoint of all sides of the square is all joined together to create another square inside it (see figure below). If the area of the smaller square is given as 100 m2, find the area of the bigger square. ​
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
The highlight%28cross%28midpoint%29%29 midpoints of all sides of the square highlight%28cross%28is%29%29 are all joined together
to create another square inside it highlight%28cross%28%28see_figure_below%29%29%29.
If the area of the smaller square is given as 100 m2, find the area of the bigger square. ​
~~~~~~~~~~~~~~~~


The area of the bigger square is two times the area of the smaller square, i.e. 200 m^2.    ANSWER

You can easily see it,  if you draw the diagonals of the smaller square.