Which series of transformations occurred to move the orange figure to the blue figure? A. a translation and then a rotation
B. a translation and then a reflection over the y-axis
C. a reflection over the x-axis and then a rotation

A translation and then a rotation.

Step-by-step explanation:

Translation is moving the location of an object. Rotation is changing the direction the object is facing. Translate the orange figure to where the blue figure is, and then rotate the orange figure to face the same direction as the blue figure.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2