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.

Question

440 mm

225 mm

180 mm

400 mm

Answer 1

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.