Question

What are six different rectangles with a area of 64

Answer 1

Answer:

Length         Width

1                     64

64                      1

2                     32

32                      2

  4                    16

16                        4

Step-by-step explanation:

We are asked to find the six different rectangles with a area of 64.

We know that a rectangle is a parallelogram whose opposite sides are equal.

To find the length and width of rectangle, we need to find factors of 64.

Factors of 64: $(1\times 64), (2\times 32), (4\times 16), (8\times 8)$.

If one side of rectangle will be 8 inches, then other side will be 8 inches. Then the figure will be square, so 8 is not a possible factor for the given scenario.

Now, we can make 6 groups from other factors by switching the length and width as:

Length         Width

1                     64

64                      1

2                     32

32                      2

  4                    16

16                        4

Therefore, above numbers are our required rectangles side measures.

Answer 2

1 by 64
2 by 32
4 by 16
8 by 8

Those are the only four rectangles you can make using whole numbers unless you rotate them.