SOLUTION: A square with a side equal to ( 2x)m is made up of four smaller equal squares One of the squares is removed and the remaining shaded area is 75m squared . Calculate the value of

Question 1090439: A square with a side equal to ( 2x)m is made up of four smaller equal squares
One of the squares is removed and the remaining shaded area is 75m squared . Calculate the value of x
Found 2 solutions by Boreal, KMST:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Drawing this helps
Area of whole thing is 4x^2 m^2
1/4 is removed
3x m^2 remains
that equals 75 m^2
therefore x^2=75/3=25 m^2
x=5 m

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the side of the large square measures ,
the area of the large square in is
, and
the area in of each of the four smaller squares is
.

After one of the small squares is removed, a figure made up of
of the small squares is remaining.
It's area in is , so
,
.
That means that .
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