Question

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.

Answer 1

Original dimension =
`0.127 * 0.09525` inches.

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 =
`(2.54)/(40)`

= 0.0635

Hence the original dimensions =
`initial dimension * equivalence factor`

=
`(2 * 1.5) * 0.0635`

=
`0.127 * 0.09525` inches.