Alex is drawing rectangles with different areas on a centimetre grid. He can draw 3 different rectangles with an area of 12cm2. How many rectangles could alex draw with an area of 11cm2

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Number of rectangles could alex draw with an area of 11cm² = 1

Step-by-step explanation:

Minimum length in centimeter grid = 1 cm

Alex is drawing rectangles with different areas on a centimetre grid. He can draw 3 different rectangles with an area of 12cm²

That is

12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

These are the 3 different rectangles with an area of 12cm².

Now we need to find how many rectangles could alex draw with an area of 11cm².

11 = 1 x 11

So only one factorization is possible.

Number of rectangles could alex draw with an area of 11cm² = 1

2.75 or 2