Paulina is remodeling her bathroom. The tile she has chosen is shown below. There are squares and trapezoids in the tile. The side length of each square in the tile is x centimeters. The height and the length of one of the bases of each trapezoid is x centimeters. The other length is 2x centimeters.
a. Write a simplified equation to solve for x in terms of AT, the area of the tile. If necessary, use rational coefficients instead of root symbols.
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For the square:
\(A_s = x^2\)
For the trapezoid:
\(A_t = \dfrac{(x + 2x)x}{2} =\dfrac{3x^2}{2}\)

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