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scarlet built a scale model of a ship, using the scale 3 : 32. the measurements of the model are given in the table.

dimension measurement
length 17 inches
width 7 inches
height 5 inches
drag and drop the length of the scale model of the ship.

measurements are rounded to the nearest inch.
length of ship (in inches)

a: 53

b: 75,

c: 160,

d: 181,

e: 224,

f: 544

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584