The number of tiles represents the area of the rectangle.
The dimensions of the rectangles are:
- 1 by 48
- 2 by 24
- 4 by 12
- 8 by 6
- 16 by 3
We have:
[tex]Area = 48[/tex] --- see attachment
Rectangle A
[tex]Length = 1[/tex]
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]48 = 1\times Width[/tex]
[tex]48 = Width[/tex]
[tex]Width = 48[/tex]
Hence, the dimension is: 1 by 48
Rectangle B
[tex]Length = 2[/tex]
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]48 = 2\times Width[/tex]
Divide by 2
[tex]24 = Width[/tex]
[tex]Width = 24[/tex]
Hence, the dimension is: 2 by 24
Rectangle C
[tex]Length = 4[/tex]
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]48 = 4\times Width[/tex]
Divide by 4
[tex]12 = Width[/tex]
[tex]Width = 12[/tex]
Hence, the dimension is: 4 by 12
Rectangle D
[tex]Length = 8[/tex]
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]48 = 8\times Width[/tex]
Divide by 8
[tex]6 = Width[/tex]
[tex]Width = 8[/tex]
Hence, the dimension is: 8 by 6
Rectangle E
[tex]Length = 16[/tex]
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]48 = 16\times Width[/tex]
Divide by 16
[tex]3 = Width[/tex]
[tex]Width = 3[/tex]
Hence, the dimension is: 3 by 16
Read more about areas at:
https://brainly.com/question/16418397
