Question

Alex is drawing rectangles with different areas on a centimetre grid.He can draw 2 different rectangles with an area of 6cm² how many different rectangles could Alex draw with an area of 5cm²give a reason for your answer?

Answer 1

Answer: Alex can draw a total of four different rectangles with an area of 5cm².

Step-by-step explanation: There are three different ways that Alex could draw two rectangles with an area of 6cm²:

- One rectangle could have dimensions of 2cm by 3cm, and the other rectangle could have dimensions of 1cm by 6cm.

- One rectangle could have dimensions of 2cm by 6cm, and the other rectangle could have dimensions of 1cm by 12cm.

- One rectangle could have dimensions of 3cm by 4cm, and the other rectangle could have dimensions of 2cm by 3cm.

To determine how many different rectangles Alex could draw with an area of 5cm², we need to consider all the possible combinations of length and width that would result in an area of 5cm². These combinations include:

- A rectangle with dimensions of 1cm by 5cm

- A rectangle with dimensions of 5cm by 1cm

- A rectangle with dimensions of 2cm by 2.5cm

- A rectangle with dimensions of 2.5cm by 2cm