Where is the midpoint located if a line segment has the endpoints of (-4, -2) and (-1, -6)? * A. (2, -10)
B. (-2.5, -4)
C. (-3, -3.5)
D. (-1.5, 2)

B. (-2.5, -4)

Step-by-step explanation

x = 1/2(x^1 + x ^2)

x = 1/2(-4 + -1)

x = 1/2(-5)

x = -2.5

y = 1/2(y^1 + y^2)

y = 1/2(-2 + -6)

y = 1/2(-8)

y = -4

(-2.5, -4)

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

the answer is c.

step-by-step explanation: