What is the minimum length of tape he will need?

Ryan uses 48 interlocking foam tiles to create a rectangular play area along one side of a toy shop wall. Each tile is a square with side length 1 foot. He will tape the edge away from the wall to the floor.

2 Answers
Jan 22, 2018

20'

Explanation:

To get the smallest perimeter, should have lesser number of tiles alongside the boundary and more inside. Also more tiles should be alongside the wall as Ryan measures the outer path away from the wall. This can be achieved by placing the tiles 8*6 with one 8' side facing the wall.
Hence the perimeter #P = 2*(8+6) - 8 = 20'#