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. type your response here:

Step-by-step explanation:

For the square tile, the area of the tile is the square of the side length.

... AT = x^2

... x = AT^(1/2)

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For the trapezoidal tile, the area of the tile is given by the formula ...

... A = (1/2)(b1 +b2)h . . . . . . where b1, b2 are the base lengths, h is the height

Filing in the values for the trapezoidal tile, we have ...

... AT = (1/2)(x +2x)x = (3/2)x^2

... x = (2/3·AT)^(1/2)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.