SOLUTION: A square tile floor has 29 square tiles along the two main diagonals. How many square tiles in the entire floor? Solution: Let the side length of each tile be 'a' Since all th

Algebra ->  Parallelograms -> SOLUTION: A square tile floor has 29 square tiles along the two main diagonals. How many square tiles in the entire floor? Solution: Let the side length of each tile be 'a' Since all th      Log On


   

Question 236109: A square tile floor has 29 square tiles along the two main diagonals. How many square tiles in the entire floor?
Solution:
Let the side length of each tile be 'a'
Since all the tiles are square,
Diagonal length of each tile = sqrt%282%29%2Aa
So the diagonal length of the entire floor = 29%2Asqrt%282%29%2Aa
Let x be the side length of the entire floor.
So the diagonal length of entire floor in terms of x = sqrt%282%29%2Ax
==> sqrt%282%29%2Ax = 29%2Asqrt%282%29%2Aa
==> x = 29%2Aa
So the number of tiles = %2829%2Aa%29%2Fa = 29.
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