Question

suppose eric used 12 tiles to make the rectangular design. how many different rectangles could he make with the 12 tiles?

Answer 1

He can make 3 rectangle. Rectangles have 4 sizes

Answer 2

A rectangle is a polygon with 4 sides, with adjacent sides being perpendicular to each other.  Eric can make 3 rectangles with 12 tiles.

How to find if an arrangement of blocks is a rectangle?

Suppose we've got almost square blocks. Then if you align 'x' blocks in a row, and make 'y' number of such rows, then that will make a rectangular shape. The total number of such blocks needed is given as:

$x \times y$ (as x tiles are summed y times, or say y tiles are summed x times).

For the given case, Eric has got 12 tiles.
We can write 12 as:

$12 = 1 \times 12 = 12 \times 1\\12 = 2 \times 6 = 6 \times 2\\12 = 3 \times 4 = 4 \times 3$

Thus, 3 unique rectangles can be made from 12 tile blocks.

Thus,

Eric can make 3 rectangles with 12 tiles.

Learn more about rectangles here:

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