Using Various puzzle pieces, Marco forms the figure below. What is the best estimate of the area of the figure? F. 146 in? G.77 in? H. 57 in? J. 123 in?

Step-by-step explanation:

The figure shown here consists of two pieces:

- A hemicircle

- A triangle

So, the total area of the figure is the sum of the areas of the two parts.

The area of the hemicircle is given by:

where

r = 4 in. is the radius (half the diameter, which is 8 inches)

Therefore,

The area of the triangle is given by

where

b is the base

h is the height

Here we have:

h = 8 in. is the height

The base is the total length (16 in.) minus the radius of the circle, so

So the area of the triangle is

So the total area of the figure is

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225