A polygon has an area of 144 square inches and one of its sides is 8 inches long. If a second similar polygon has an area of 64 square inches, what is the length of the corresponding side in the second polygon?

Question

directrix · Answer

If two polygons are similar, then the square of the scale factor of the two  polygons is the ratio of the areas

directrix · Answer

Let x be the side of the second polygon which corresponds to the side of length 8 in the first polygon.

directrix · Answer

(8/x)^2 =  144/64

directrix · Answer

8/x = 12/8

anonymous · Answer

oh ok, thanks, that make much more since thanks again!

directrix · Answer

Glad to  help. Check my arithmetic.