Marie has a small copy of a painting. her copy has dimensions 2 inches by 1.5 inches. the scale copy is 1 in.:40cm.

Question

Marie has a small copy of a painting. her copy has dimensions 2 inches by 1.5 inches. the scale copy is 1 in.:40cm. What is the area of the original, dimensions of the original in centimeters AND inches, and the area of the original in Square inches

Answer 1

I find it easiest to do the scaling first, then the units conversion.  The original is 2 inches long and the scaling factor is 40, so 2 x 40 = 80 and the real dimensions are in cm, so t he length of the original is 80 cm.  Now do the same thing for width: 1.5 x 40 = 60,so the width of the original is 60 cm.  Area, as you know is length x width.  I'll let you handle that part.  To convert cm to inches, use the conversion factor 0.394.  This means that the length of the original is 80 x 0.394 = 31.52 inches. Do the same thing with the width.  Then multiply length x width to get the area in inches².