This consists of more than one answer. Please read carefully!! 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?
Accepted Solution
A:
Answer:Part A)AT=16x^2Part B)AT=4b^2 +12x^2Step-by-step explanation:Part A:length of each side of square in tile=xlength of each small base side of trapezoid in tile=xlength of each large base side of trapezoid in tile=2xheight of each trapezoid in tile=xArea of each square in tile= x^2Area of each trapezoid in tile= x(x+2x)/2 = (3x^2)/2area 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 tileAT= 4(x^2) + 8[(3x^2)/2] = 4x^2 + 12x^2 = 16x^2Part B)if If the tile is a square with a length of b centimeters then AT= 4b^2 +12x^2 !