A. 5 units
B. 14.4
C. 9 units
D. 7.2 units
Please help me with this

Answer:
We can conclude that ΔARE is similar to ΔAPM. The length of AM is 25 + 9 = 34 meaning the scale factor is 34/25. 20 * 34/25 = 27.2 meaning x = 27.2 - 20 = 7.2.
[tex]answer = 7.2 \: units \\ solution \\ \frac{ar}{ap} = \frac{ae}{am} \\ or \: \frac{20}{(20 + x)} = \frac{25}{25 + 9} \\ or \: \frac{20}{20 + x} = \frac{25}{34} \\ or \: 25(20 + x) = 34 \times 20 \\ or \: 20 + x = \frac{34 \times 20}{25} \\ or \: 20 + x = 27.2 \\ or \: x = 27.2 - 20 \\ x = 7.2 \: units \\ hope \: it \: helps[/tex]