Question

Elina’s friend Luke said that he could make more rectangles with 24 tiles then Elaine’s 10 tiles do you agree with Luke’s explain

Answer 1

no, because it needs to equal 25, not 24.

Answer 2

Yes, Luke's statement is correct and he could make more rectangles with 24 tiles than than Elaine's 10 tiles.

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
`(24)/(2)` = 12 rectangles.

But, Elaine can make
`(10)/(2)` = 5 rectangles.

Hence, Luke's statement is correct and he could make more rectangles with 24 tiles than Elaine's 10 tiles.