The area of is 18 ft2 and the area of is 24 ft2. if , what is the ratio of lm to fg? a. 3: 4 b. 9: 16 c. 2004-02-04-06-00_files/i0130003.jpg d. 4: 3

The correct question is
the area of triangle LMN is 18 ft2 and the area of triangle FGH is 24 ft2. if triangle LMN is equivalent to triangle FGH. what is the ratio of LM to FG ?

we know that
area triangle FGH=scale factor²*area triangle LMN
scale factor²=area triangle FGH/area triangle LMN
scale factor²=24/18
scale factor²=4/3
scale factor=√(4/3)>scale factor=2/√3
scale factor=measure FG/measure LM
measiure LM/measure FG=1/scale factor
measure LM/measure FG=1/(2/√3)> √3/2> √3:2

the answer is
the ratio of LM to FG is √3:2