The area of the shaded part of the rectangle is ___ cm

Fill in the blank.

A) 20
B) 60
C) 100
D) 140

C) 100
If you were to split the shaded area into two shapes it would be a rectangle and a triangle. This makes it easier to find the area of the shaded area only.

Rectangle:
Area: 10x6=60

Triangle:
Find length of other side by subtracting
14-6=8
Area: (10x8)/2=40

Lastly add them together:
60+40=100

The answer is a because i went through all the other ones that it didn’t come out right

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12