Question

In the figure, AB is parallel to CD, If ED:EA = 14.9 and hte perimeter of BEA is 27, find the perimeter of CED.

A.17.4
B.38
C.42
D.65.3

Answer 1

The perimeter of two similar triangles will be in the same ratio as any of their corresponding sides.

Answer 2

How would I set up the equation?

Answer 3

Perimeter of bigger triangle : Perimeter of smaller triangle = ED : EA
Perimeter of bigger triangle : 27 = 14 : 9 or
x : 27 = 14 : 9
Solve for x

Answer 4

x : 27 = 14 : 9 is same as saying
x / 27 = 14 / 9
multiply both sides by 27
x = 14/9 * 27 = ?

Answer 5

Thanks!

Answer 6

You are welcome.

Answer 7

I got 42

Answer 8

Correct.