What is the area of the figure?

I believe the area is 24
Explanation:
It’s easier if you break apart the shape into two shapes. You have a square and a rectangle. The square’s area will be L x W= A so 4 x 4 = 16.

Now look at the rectangle and use the same formula L x W = A. The width is 2 and the length is 4 because we cut the whole bottom 8ft length in half when we solved the area for the square. So then the rectangle is 2 x 4 = 8

Now add the two areas 16+8= 24
Area =24

This is how I do it

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

Where’s the problems ? ?