Question

What are six different rectangles with a area of 64

Answer 1

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.

Answer 2

Length Width

1 64

64 1

2 32

32 2

4 16

16 4

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* 64), (2* 32), (4* 16), (8* 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.