26. The width of a rectangle is 64 inches. The length of the rectangle is twice its width What is the perimeter of the rectangle? A 20 inches B. 40 inches c. 30% inches D. 885 inches​

Respuesta :

W = 64
L = 64*2 = 128

P = (64 * 2) + (128 * 2) = 384

[tex] \large \orange{ \frak{Given :}}[/tex]

[tex] \\[/tex]

  • Width of rectangle = 64 in.

[tex] \\ [/tex]

  • Length of the rectangle is twice its width.

[tex] \\ \\ [/tex]

[tex] \large \orange{ \frak{To \: find:}}[/tex]

[tex] \\ [/tex]

  • Perimeter of rectangle

[tex] \\ \\ [/tex]

[tex] \large \orange{ \frak{Solution:}}[/tex]

[tex] \\ [/tex]

We know :-

  • Length = twice of width
  • Length = 2 × width
  • Length = 2 × 64
  • Length = [tex]\small \bf 128[/tex]

[tex] \\ \\ [/tex]

[tex] \large \orange{ \frak{Digram:}}[/tex]

[tex] \\ \\ [/tex]

[tex] \tt 64in.\begin{gathered} \small \large\boxed{\begin{array}{cc} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \end{array}}\end{gathered} \\ \: \: \: \: \sf128in.[/tex]

[tex] \\ \\ [/tex]

Formula of perimeter of rectangle:-

[tex] \\ [/tex]

[tex] \bigstar \boxed{\rm{}perimeter \: of \: rectangle = 2(l + w)}[/tex]

where :-

l = length of rectangle

w = width of rectangle

[tex] \\ [/tex]

So :-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(l + w) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(64 + 128) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(64) + 2(128) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2 \times 64+ 2(128) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 2(128) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 2 \times 128\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 256\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf{}perimeter \: of \: rectangle =384 \: in\\ [/tex]

[tex] \\ \\ [/tex]

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