This consists of more than one answer. read use the first attachment for the two questions.
**part 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.

**part b**
if the tile is a square with a length of b centimeters, what would at be in terms of b?

Part A)AT=16x^2

Part B)AT=4b^2 +12x^2

Step-by-step explanation:

Part A:

length of each side of square in tile=x

length of each small base side of trapezoid in tile=x

length of each large base side of trapezoid in tile=2x

height of each trapezoid in tile=x

Area of each square in tile= x^2

Area of each trapezoid in tile= x(x+2x)/2

                                               = (3x^2)/2

area of squares inside tile= 4(x^2)

area of trapezoids inside tile= 8[(3x^2)/2]

Area of tile, AT= area of squares inside tile+area of trapezoids in tile

AT= 4(x^2) + 8[(3x^2)/2]

     = 4x^2 + 12x^2

      = 16x^2

Part B)

if If the tile is a square with a length of b centimeters then AT

= 4b^2 +12x^2 !

step-by-step explanation:

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