Question

The polygons below are similar. Find the value of x.

a)4.5
b)7.5
c)12
d)16

Answer 1

You have to make a ratio. In the second picture there are only two sides with an actual value which are FG and EH and since EH is equal to AD You would use the side FG and not GH. or FE


Anyways you have to make a ratio of


BC AD
---- = ----
FG. EH
Fill it in with its real values.

8. . X.
-- =. --
6. 12. 👉then you cross multiply to get :

8(12) = 6x. 👉Simplify.
96 =. 6x. 👉solve for x ( to do that in this case you have to divide both ----=. ---- Sides by 6
6. 6
16. =. X. 🎀 the answer is D. X equals 16