The curved part of this figures is a semicircle.

what is the best approximation for the area of this figure?

28+16.25π units²

28+8.125π units²

14+16.25π units²

14+8.125π units²

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a triangle plus the area of semicircle

Step 1

Find the area of triangle

The area of triangle is

we have

substitute

Step 2

The area of semicircle is equal to

Find the radius

The radius is the half distance between points and

the formula to calculate the distance between two points is equal to

substitute the values

 -------> is the diameter

the radius is equal to

Find the area of semicircle

Step 3

Find the area pf the figure

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400