Final Answer:
The ratio of perimeter ABIG to AHAT is 0.89. None of the given options is answer.
Step-by-step explanation:
Given the side lengths:
BI = 9
IG = 27
BG = 21
HA = 15
AT = 45
HT = 35
Calculate the perimeter of ABIG:
perimeter_ABIG = BI + IG + BG + HA + AT = 9 + 27 + 21 + 15 + 45 = 117
Calculate the perimeter of AHAT:
perimeter_AHAT = HA + AT + HT + BI + IG = 15 + 45 + 35 + 9 + 27 = 131
Calculate the ratio of the perimeters:
ratio = perimeter_ABIG / perimeter_AHAT = 117 / 131 ≈ 0.89
Therefore, the ratio of perimeter ABIG to AHAT is 0.89. None of the given options is answer.