In this case we use intersecting secant theorem
According to this theorem, GF*GE = GH*GA
So,we plug in the values
(x-3)*(x-3+9) =(x-2)*(x-2+6)
(x-3)*(x+6) =(x-2)*(x+4)
x^2 +6x -3x -18 =x^2 +4x -2x -8
x^2 +3x -18 =x^2 +2x -8
x^2 +3x -18 -x^2 -2x +8 =0
x -10 =0
x=10
So,FG =x-3 = 10-3 =7
L = 6w
A = 216
A = lw
216 = (6w)(w)
216 = 6w^2
216/6 = w^2
36 = w^2
w = 6
l = 6(6)
l = 36
P = 2l + 2w
P = 2(36) + 2(6)
P = 72 + 12
P=84
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The area formula of a cylinder is:
Area =

We are given:
The radius: 6 units
The height: 15 units
Apply the formula!
A =

=

=

units²
Your answer will be
option D