Question

11. A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor

Answer 1

361 congruent square tiles would be needed to cover the square shaped floor.

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

Since the number of tiles lying on both diagonals is 37. Let x represent the number of tiles on each side.

Counting one tile twice, there are:

• 37=2x-1
• x=19 tiles on each side.

19² = 361

361 congruent square tiles would be needed to cover the square shaped floor.

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