Imagine using 48 tiles to build each rectangle below right in the missing dimensions on the rectangle sketches

Respuesta :

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

Ver imagen MrRoyal
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