Question

A. 5 units
B. 14.4
C. 9 units
D. 7.2 units

Please help me with this

Answer 1

`answer = 7.2 \: units \\ solution \\ (ar)/(ap) = (ae)/(am) \\ or \: (20)/((20 + x)) = (25)/(25 + 9) \\ or \: (20)/(20 + x) = (25)/(34) \\ or \: 25(20 + x) = 34 * 20 \\ or \: 20 + x = (34 * 20)/(25) \\ or \: 20 + x = 27.2 \\ or \: x = 27.2 - 20 \\ x = 7.2 \: units \\ hope \: it \: helps`

Answer 2

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.