Question

Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm squared how many different rectangles could Alex draw with an area of 11 cm squared give a reason for your anwser please i need help please anwser this quikly.

Answer 1

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

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 *12\\\\12=2*6\\\\12=3 *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

Answer 2

Alex can only drawn 1 rectangle with an area of 11 cm²

Explanation:

When Area = 12 cm², Alex could draw 3 rectangles.

This is because, Area of a rectangle = Length * Breadth

and the factors of 12 are 1, 2, 3, 4, 6, and 12.

The 3 triangle formed can be gotten from the correct combinations of these factors, which are 12 × 1, 2 × 6, 3 × 4.

All of these three combinations give us an area of 12 cm²

Similarly when Area = 11 cm², 11 is a prime number and its factors are 1 and 11.

The only combination that can be made from these factors is 11 × 1.

This means that only one rectangle can be drawn