Tina has 30 black ceramic tiles. She wants to make a rectangular shaped design with the black tiles and then make a yellow ceramic tile border around it. How should she arrange the black tiles to make the longest is the yellow border?

Question

Tina has 30 black ceramic tiles. She wants to make a rectangular shaped design with the black tiles and then make a yellow ceramic tile border around it. How should she arrange the black tiles to make the longest is the yellow border?

A) 5 tiles by 6 tiles
B) 1 tile by 30tiles
C) 2 tiles by 15tiles
D) 3 tiles by 10 tiles

Answer 1

A) 5 tiles by 6 tiles

To maximize the length of the yellow border, Tina should aim for a longer length than width in the rectangular design. By using 5 tiles by 6 tiles arrangement, Tina will have a total of 30 black tiles and the yellow border will go around the perimeter of the rectangular design, resulting in a longer border compared to the other options.