Kingston wants to tile his living room. The dimensions of the room are 16 ft × 16 ft. He wants to tile the center of the room of dimensions 8 ft × 8 ft with square tiles of side 1 ft. How many square tiles of side 1 ft are needed to tile the space?

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Solution

The dimensions of the room are 16 ft × 16 ft.

The room is square-shaped.

Area of the room = Side × Side

= 16 × 16 = 256 sq ft

For the space at the center of dimensions 8 ft × 8 ft, he wants to use square tiles of side 1 ft.

Area of the center space = 8 × 8

= 64 sq ft

Area of 1 square tile
= 1 × 1 = 1 sq ft

Number of tiles needed for the center $space = \frac{A r e a o f t h e c e n t e r s p a c e}{A r e a o f o n e t i l e}$

$= \frac{64}{1}$

= 64

Hence, 64 square tiles of side 1 ft are needed.

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