Marie has a small copy of rene magrittes famous painting her copy has dimensions 2 inches by 1.5 inches the scale of the copy is 1 inch equals 40 centimeters. Since 1 inch is 2.54 centimeters find the dimensions of the original painting in inches.

Respuesta :

Answer:

Original dimension =[tex] 0.127 \times 0.09525 [/tex] inches.

Step-by-step explanation:

Marie has a copy of the painiting whose dimensions = 2 \times 1.5 inches

Scale of the copy is 1 inch equivalent to 40 centimeters.

Originally, 1 inch is equivalent to 2.54 centimeters.

Thinking logically , we see that in Marie's copy , the painting is enlarged.

In place of 2.54 cm , the scale was taken to be 40 cm.So to find the equivalence factor of the original painting ,we need to divide 2.54 by 40.

The equivalence factor of original painting = [tex]\frac{2.54}{40}[/tex]

                                                                       = 0.0635

Hence the original dimensions =[tex]initial dimension \times equivalence factor[/tex]

                                                    =[tex] (2 \times 1.5) \times 0.0635 [/tex]

                                                    =[tex] 0.127 \times 0.09525[/tex] inches.

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