For the quadrilateral ABCD, E and F are midpoints of sides AD and BC respectively. AB = 15, BC = 29, CD = 34, AD = 11, and EF = 31. Find the distance between midpoints of the other two sides, if the diagonals of the quadrilateral are perpendicular.

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

did you get the answer yet?

step-by-step explanation: