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

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 = 12 rectangles.

But, Elaine can make = 5 rectangles.

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

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are