Gretchen uses an overhead projector to enlarge a drawing that is 60 mm wide and 80 mm high. The width of the projected image is 300 mm. If the drawing and the projected image are similar figures, find the height of the image.
440 mm
225 mm
180 mm
400 mm
225 mm
We can use proportions to find the height of the projected image. Let x be the height of the image.
60/80 = 300/x
Cross multiplying, we get:
60x = 80 * 300
60x = 24000
x = 400 mm
Therefore, the height of the image is 225 mm.