SOLUTION: The floor of a square room is covered in square tiles. If the diagonals of the room have a total of 21 tiles, how many tiles are on the floor?

Question 236796: The floor of a square room is covered in square tiles. If the diagonals of the room have a total of 21 tiles, how many tiles are on the floor?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The floor of a square room is covered in square tiles. If the diagonals of the room have a total of 21 tiles, how many tiles are on the floor?
.
Let x = number of tiles on each side of the square room
then applying Pythagorean theorem:
x^2 + x^2 = 21^2
2x^2 = 441
x^2 = 220.5
x = 14.85 tiles on each side
.
Total number of tiles:
x*x = x^2 = 14.85^2 = 220.5 tiles

RELATED QUESTIONS
Bob and Wendy live in a house in which the floor of every room is a square and covered... (answered by AnlytcPhil)

The floor of a rectangular room is completely covered with square tiles. The room is 9... (answered by math_helper)

The floor of a rectangular room is completely covered with square tiles. The room is 9... (answered by Theo)

Mr and Mrs Wombat live in a hose in which the floor of every room is a square and covered (answered by josmiceli)

Mr and Mrs Wombat live in a house in which the floor of every room is a square and... (answered by AnlytcPhil)

A square room is covered with 64 square floor tiles 1 foot on the edge. What is the... (answered by vleith)

The perimeter of a square room is 80 feet. How many floor tiles 1 foot square would be... (answered by LinnW)

1. the floor of a room that is 12 feet wide and 15 feet long will be covered with tiles... (answered by Fombitz)

You have a room of length 8m and breadth 7m. You want to cover the floor of the room with (answered by josgarithmetic)