Question

A. 39
B. 55
C. 66
D. 82

Answer 1

D) 82 units

Explanation:

ΔBCD ≅ ΔEFG

In congruent triangles, corresponding parts are congruent

BD = EG

4x - 9 = 2x + 15

4x - 9 -2x = 15

2x - 9 = 15

2x = 15 +9

2x = 24

x = 24/2

x = 12

EG = 2x + 15 = 2*12 + 15

= 24 + 15

EG = 39 units

FE = CB = 17 units

Perimeter of ΔEFG = FE + EG + GF

= 17 + 39 + 26

= 82 units