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A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 6 in. by 8 in. The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.

(a) What is the perimeter of the drawing? Show your work.

(b) What is the perimeter of the actual flower bed? Show your work.

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work.

Respuesta :

  (a). Perimeter of the drawing = 28 in.

  (b). Perimeter of the actual flower bed = 672 in.

  (c). Perimeter of the actual flower bed is 24 times the perimeter of the

       drawing.

Perimeter of a rectangle:

  •   Perimeter of a rectangle is given by the expression,

           Perimeter = 2(Length + Width)

Given in the question,    

  •     Length of the flower bed in the drawing = 6 in.
  •     Width of the flower bed in the drawing = 8 in.
  •     Actual length and width of the flower bed is 24 times longer than

             the length and width in the drawing.

a). Perimeter of the drawing = 2(length + width)

                                                = 2(6 + 8)

                                                = 28 in.

b). Length of actual flower bed = 24(Length of the flower bed in drawing)

                                                    = 24(6)

                                                    = 144 in

   Width of the actual flower bed = 24(width of the flower bed in drawing)

                                                        = 24(8)

                                                        = 192 in

    Perimeter of the actual bed = 2(144 + 192)

                                                    = 672 in.

c). [tex]\frac{\text{Perimeter of the flower bed in drawing}}{\text{Perimeter of the actual flower bed}}[/tex] = [tex]\frac{28}{672}[/tex]

    [tex]\frac{\text{Perimeter of the flower bed in drawing}}{\text{Perimeter of the actual flower bed}}=\frac{1}{24}[/tex]                  

    Perimeter of the actual flower bed = 24(perimeter of the flower bed in drawing)              

    Therefore, (a) Perimeter of the the drawing = 28 in.

                       (b) Perimeter of the actual flower bed = 672 in.

                       (c) Perimeter of the actual flower bed is 24 times the

                           perimeter of the drawing.

Learn more about the perimeter here,

https://brainly.com/question/6465134?referrer=searchResults

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