Answer:
RP = 14
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(x+x+2) * (x+2) = (4+6)*4
Combine like terms
(2x+2)(x+2)=10*4
2(x+1)(x+2) = 40
Divide by 2
(x+1)(x+2) = 20
FOIL
x^2+2x+x+2 = 20
x^2 +3x+2 =20
Subtract 20
x^2 +3x-18 = 0
Factor
(x +9) (x-6) = 0
Using the zero product property
x+9=0 x-6 =0
x= -9 x=6
Since the length cannot be negative
x=6
RP = x+2+x = 6+2+6 = 14
