<PRE><B>Question 1113575</B>
1.  use Pythagorean Theorem to determine y^2 where y is the length of one side of the square since the interior angles of the square are right angles
:
y^2 + y^2 = 12^2
:
2y^2 = 144
:
y^2 = 72
:
2.  use Pythagorean Theorem to determine x since the interior angles of the rectangle are right angles
:
(2x)^2 + x^2 = y^2
:
4x^2 + x^2 = 72
:
5x^2 = 72
:
x^2 = 72/5
:
x = 6square root(2/5) = 3.79 meters
:
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length of rectangle is 7.58 meters
width of rectangle is 3.79 meters
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:
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