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The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playground give your answers in meters

Respuesta :

The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

Perimeter of a rectangle

Perimeter of a rectangle  = 2 (length and breadth)

Given to us,

the scale of the drawing is 1:500

Assumption

let's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.

Perimeter of the scale drawing playground

Perimeter of the scale drawing playground = 2(length+breadth)

                                                                        [tex]= 2 (x+y)[/tex]

Perimeter of the real playground

Perimeter of the real playground = 2(length+breadth)

                                                       [tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]

                                                                 

Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

Learn more about scaling and magnification:

https://brainly.com/question/1132452

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