Answer:
Yes, Luke's statement is correct and he could make more rectangles with 24 tiles than than Elaine's 10 tiles.
Step-by-step explanation:
Clearly, a tile is in the shape of a square.
Let 'a' be the side of a tile.
If we place two tiles side by side, we will get a rectangle whose length is '2a' and width is 'a'.
To make a single rectangle, the minimum number of tiles needed = 2.
So, Luke can make a maximum number of [tex]\frac{24}{2}[/tex] = 12 rectangles.
But, Elaine can make [tex]\frac{10}{2}[/tex] = 5 rectangles.
Hence, Luke's statement is correct and he could make more rectangles with 24 tiles than Elaine's 10 tiles.
