32 divided by 8 equals 4.
I believe the answer is 50
Add the ratios 3:1 = 4
divide perimeter 128 by 4 = 32
multiply this by each ratio so 3:1 becomes 96length:32width
remember there are two lengths and two widths in the perimeter so divide by 2 to find the length = 48
Since the triangles are similar, they have the same ratio to all corresponding sides. Let's find the ratio of ΔDEF to ΔPQR.
DF/RQ = 25/24
Similarly,
DE/PQ = 25/24
Thus,
PQ = 24/25 DE
PQ = 0.96DE
This means that the length of PQ is 96% of the length of DE.
I hope I was able to help you. Have a good day.