SOLUTION: The Art Club wants to paint a rectangle shaped mural to celebrate the winners of the track and field meet. They designed a checkerboard for the mural where they will write the winn

Question 824403: The Art Club wants to paint a rectangle shaped mural to celebrate the winners of the track and field meet. They designed a checkerboard for the mural where they will write the winners' names. The rectangle measures 432 inches in length and 360 inches in width. What is the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps? Please make it as simple as possible. Thank you :)
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = side length of maximum-sized checkerboard square
y = number of squares along the 360 inch dimension
z = number of squares along the 432 inch dimension
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xy = 360
xz = 432
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x = 360/y
z360/y = 432
z/y = 432/360
z/y = 216/180
z/y = 108/90
z/y = 54/45
z/y = 6/5
---
answer:
y = number of squares along the 360 inch dimension = 5
z = number of squares along the 432 inch dimension = 6
x = 360/y
x = 360/5
x = 72 inches
and
x = 432/z
x = 432/6
x = 72 inches
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