# Marie has a small copy of Rene Magritte's famous painting The Schoolmaster. Her copy has dimensions 2 inches by 1.5 inch The scale of the copy is 1 in 40 cm. How do you find the dimensions of the original painting?

May 27, 2017

The original painting is:
$203.2 c m$ x $152.4 c m$
or
$2.032 m$ x $1.524 m$

#### Explanation:

First we need to convert all units to the same system. 1 inch is equal to $2.54 c m$, so we multiply each inch by $2.54$ to get the measurements of Marie's copy in centimeters.

$2 \cdot 2.54 = 5.08 c m$
$1.5 \cdot 2.54 = 3.81 c m$

Now when it says that the scale is 1 in 40cm (1:40) it means that each centimeter in the copy represents 40 in the original. So we multiply our results by 40 to get the original size.

$5.08 \cdot 40 = 203.2 c m$
$3.81 \cdot 40 = 152.4 c m$