Question

Find the perimeter of each polygon. Assume that lines which appear to be 1 tangent are tangent. * 19.3 11 16.5 A) 53.2 C) 55 B) 64.4 D) 76.9

Please Explain.. I have no Idea how to do these problems ​

Answer 1

C. 55

Explanation:

For easy reference, let's labelled some of the segments as a, b, and c respectively as shown in the attachment below.

a = 11 (tangents drawn from an external point)

b = 19.3 - 11 = 8.3 (tangents drawn from an external point)

c = 16.5 - b = 16.5 - 8.3 = 8.2 (tangents drawn from an external point)

✔️Perimeter = 19.3 + 16.5 + a + c = 19.3 + 16.5 + 11 + 8.2 = 55